105403296160 has 24 divisors (see below), whose sum is σ = 249015287556. Its totient is φ = 42161318400.

The previous prime is 105403296133. The next prime is 105403296179. The reversal of 105403296160 is 61692304501.

It can be written as a sum of positive squares in 2 ways, for example, as 93996201744 + 11407094416 = 306588^2 + 106804^2 .

It is a super-2 number, since 2×105403296160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329385141 + ... + 329385460.

Almost surely, 2^105403296160 is an apocalyptic number.

105403296160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105403296160 is an abundant number, since it is smaller than the sum of its proper divisors (143611991396).

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

105403296160 is an equidigital number, since it uses as much as digits as its factorization.

105403296160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658770616 (or 658770608 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 105403296160 in words is "one hundred five billion, four hundred three million, two hundred ninety-six thousand, one hundred sixty".