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105297109380 = 22335414755967
BaseRepresentation
bin110001000010000110…
…0100110000110000100
3101001210100002101021000
41202010030212012010
53211122030000010
6120212310253300
710415234443041
oct1420414460604
9331710071230
10105297109380
1140724522851
12184a7957230
139c110964a8
14514c7821c8
152b142cd7c0
hex1884326184

105297109380 has 96 divisors (see below), whose sum is σ = 335581102080. Its totient is φ = 27394364160.

The previous prime is 105297109369. The next prime is 105297109417. The reversal of 105297109380 is 83901792501.

105297109380 is a `hidden beast` number, since 10 + 529 + 7 + 109 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×1052971093802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2355844 + ... + 2400123.

It is an arithmetic number, because the mean of its divisors is an integer number (3495636480).

Almost surely, 2105297109380 is an apocalyptic number.

105297109380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105297109380 is an abundant number, since it is smaller than the sum of its proper divisors (230283992700).

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

105297109380 is a wasteful number, since it uses less digits than its factorization.

105297109380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756026 (or 4756018 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 105297109380 in words is "one hundred five billion, two hundred ninety-seven million, one hundred nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 4755967 9511934 14267901 19023868 23779835 28535802 42803703 47559670 57071604 71339505 85607406 95119340 128411109 142679010 171214812 194994647 214018515 256822218 285358020 389989294 428037030 513644436 584983941 642055545 779978588 856074060 974973235 1169967882 1284111090 1754951823 1949946470 2339935764 2568222180 2924919705 3509903646 3899892940 5264855469 5849839410 7019807292 8774759115 10529710938 11699678820 17549518230 21059421876 26324277345 35099036460 52648554690 105297109380