105413693360 has 20 divisors (see below), whose sum is σ = 245086837248. Its totient is φ = 42165477312.

The previous prime is 105413693353. The next prime is 105413693377. The reversal of 105413693360 is 63396314501.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105413693360² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658835504 + ... + 658835663.

Almost surely, 2^105413693360 is an apocalyptic number.

105413693360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105413693360 is an abundant number, since it is smaller than the sum of its proper divisors (139673143888).

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

105413693360 is a wasteful number, since it uses less digits than its factorization.

105413693360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317671180 (or 1317671174 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 105413693360 in words is "one hundred five billion, four hundred thirteen million, six hundred ninety-three thousand, three hundred sixty".