105513408672 has 96 divisors (see below), whose sum is σ = 320547225600. Its totient is φ = 29765069568.

The previous prime is 105513408659. The next prime is 105513408697. The reversal of 105513408672 is 276804315501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105513408672² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940672 + ... + 1046847.

It is an arithmetic number, because the mean of its divisors is an integer number (3339033600).

Almost surely, 2^105513408672 is an apocalyptic number.

105513408672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105513408672 is an abundant number, since it is smaller than the sum of its proper divisors (215033816928).

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

105513408672 is a wasteful number, since it uses less digits than its factorization.

105513408672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987618 (or 1987610 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 105513408672 in words is "one hundred five billion, five hundred thirteen million, four hundred eight thousand, six hundred seventy-two".