105317412160 has 112 divisors (see below), whose sum is σ = 264138558336. Its totient is φ = 39918467072.

The previous prime is 105317412157. The next prime is 105317412163. The reversal of 105317412160 is 61214713501.

It is an interprime number because it is at equal distance from previous prime (105317412157) and next prime (105317412163).

It is a super-2 number, since 2×105317412160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105317412163) 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 15 ways as a sum of consecutive naturals, for example, 720654 + ... + 854386.

Almost surely, 2^105317412160 is an apocalyptic number.

105317412160 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 105317412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132069279168).

105317412160 is an abundant number, since it is smaller than the sum of its proper divisors (158821146176).

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

105317412160 is a wasteful number, since it uses less digits than its factorization.

105317412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133880 (or 133870 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 105317412160 in words is "one hundred five billion, three hundred seventeen million, four hundred twelve thousand, one hundred sixty".