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105130960 = 24511193619
BaseRepresentation
bin1100100010000…
…10101111010000
321022211012120021
412101002233100
5203403142320
614233153224
72414412154
oct621025720
9238735507
10105130960
11543864a0
122b25b814
1318a1c08c
14dd69064
159369daa
hex6442bd0

105130960 has 80 divisors (see below), whose sum is σ = 268464960. Its totient is φ = 37969920.

The previous prime is 105130957. The next prime is 105131017. The reversal of 105130960 is 69031501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1051309602 = 22105037501043200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169531 + ... + 170149.

It is an arithmetic number, because the mean of its divisors is an integer number (3355812).

Almost surely, 2105130960 is an apocalyptic number.

105130960 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 105130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134232480).

105130960 is an abundant number, since it is smaller than the sum of its proper divisors (163334000).

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

105130960 is a wasteful number, since it uses less digits than its factorization.

105130960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 105130960 is about 10253.3389683556. The cubic root of 105130960 is about 471.9654528004.

The spelling of 105130960 in words is "one hundred five million, one hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 193 220 386 440 619 772 880 965 1238 1544 1930 2123 2476 3088 3095 3860 4246 4952 6190 6809 7720 8492 9904 10615 12380 13618 15440 16984 21230 24760 27236 33968 34045 42460 49520 54472 68090 84920 108944 119467 136180 169840 238934 272360 477868 544720 597335 955736 1194670 1314137 1911472 2389340 2628274 4778680 5256548 6570685 9557360 10513096 13141370 21026192 26282740 52565480 105130960