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105553021440 = 293529473927
BaseRepresentation
bin110001001001101110…
…0110100101000000000
3101002110011122001121110
41202103130310220000
53212133033141230
6120253531323320
710424462610246
oct1422334645000
9332404561543
10105553021440
1140845a24319
12185595b0540
139c520c8b49
14517475a796
152b2b9ce4b0
hex1893734a00

105553021440 has 160 divisors (see below), whose sum is σ = 349076407680. Its totient is φ = 27176812544.

The previous prime is 105553021429. The next prime is 105553021451. The reversal of 105553021440 is 44120355501.

It is an interprime number because it is at equal distance from previous prime (105553021429) and next prime (105553021451).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1055530214402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105553021398 and 105553021407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14244 + ... + 459683.

It is an arithmetic number, because the mean of its divisors is an integer number (2181727548).

Almost surely, 2105553021440 is an apocalyptic number.

105553021440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105553021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174538203840).

105553021440 is an abundant number, since it is smaller than the sum of its proper divisors (243523386240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105553021440 is an equidigital number, since it uses as much as digits as its factorization.

105553021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473982 (or 473966 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105553021440 its reverse (44120355501), we get a palindrome (149673376941).

The spelling of 105553021440 in words is "one hundred five billion, five hundred fifty-three million, twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1160 1280 1392 1536 1740 1856 1920 2320 2560 2784 3480 3712 3840 4640 5568 6960 7424 7680 9280 11136 13920 14848 18560 22272 27840 37120 44544 55680 74240 111360 222720 473927 947854 1421781 1895708 2369635 2843562 3791416 4739270 5687124 7108905 7582832 9478540 11374248 13743883 14217810 15165664 18957080 22748496 27487766 28435620 30331328 37914160 41231649 45496992 54975532 56871240 60662656 68719415 75828320 82463298 90993984 109951064 113742480 121325312 137438830 151656640 164926596 181987968 206158245 219902128 227484960 242650624 274877660 303313280 329853192 363975936 412316490 439804256 454969920 549755320 606626560 659706384 727951872 824632980 879608512 909939840 1099510640 1213253120 1319412768 1649265960 1759217024 1819879680 2199021280 2638825536 3298531920 3518434048 3639759360 4398042560 5277651072 6597063840 7036868096 8796085120 10555302144 13194127680 17592170240 21110604288 26388255360 35184340480 52776510720 105553021440