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105344400 = 24352712541
BaseRepresentation
bin1100100011101…
…10110110010000
321100020001100110
412101312312100
5203432010100
614241521320
72416261350
oct621666620
9240201313
10105344400
1154511897
122b343240
1318a95285
14ddc2b60
1593ad250
hex6476d90

105344400 has 120 divisors (see below), whose sum is σ = 385691584. Its totient is φ = 24076800.

The previous prime is 105344381. The next prime is 105344401. The reversal of 105344400 is 4443501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1053444002 = 22194885222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (105344401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130 + ... + 14670.

Almost surely, 2105344400 is an apocalyptic number.

105344400 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 105344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192845792).

105344400 is an abundant number, since it is smaller than the sum of its proper divisors (280347184).

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

105344400 is a wasteful number, since it uses less digits than its factorization.

105344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 105344400 is about 10263.7420076695. The cubic root of 105344400 is about 472.2846363229.

Adding to 105344400 its reverse (4443501), we get a palindrome (109787901).

The spelling of 105344400 in words is "one hundred five million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 12541 25082 37623 50164 62705 75246 87787 100328 125410 150492 175574 188115 200656 250820 263361 300984 313525 351148 376230 438935 501640 526722 601968 627050 702296 752460 877870 940575 1003280 1053444 1254100 1316805 1404592 1504920 1755740 1881150 2106888 2194675 2508200 2633610 3009840 3511480 3762300 4213776 4389350 5016400 5267220 6584025 7022960 7524600 8778700 10534440 13168050 15049200 17557400 21068880 26336100 35114800 52672200 105344400