105601215360 has 64 divisors (see below), whose sum is σ = 336603880080. Its totient is φ = 28160323584.

The previous prime is 105601215341. The next prime is 105601215413. The reversal of 105601215360 is 63512106501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105601215360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27498397 + ... + 27502236.

Almost surely, 2^105601215360 is an apocalyptic number.

105601215360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105601215360 is an abundant number, since it is smaller than the sum of its proper divisors (231002664720).

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

105601215360 is an equidigital number, since it uses as much as digits as its factorization.

105601215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55000655 (or 55000643 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 105601215360 in words is "one hundred five billion, six hundred one million, two hundred fifteen thousand, three hundred sixty".