105001010560 has 32 divisors (see below), whose sum is σ = 251018042400. Its totient is φ = 42000403968.

The previous prime is 105001010551. The next prime is 105001010603. The reversal of 105001010560 is 65010100501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105001010560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 82031400 + ... + 82032679.

It is an arithmetic number, because the mean of its divisors is an integer number (7844313825).

Almost surely, 2^105001010560 is an apocalyptic number.

105001010560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105001010560 is an abundant number, since it is smaller than the sum of its proper divisors (146017031840).

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

105001010560 is an equidigital number, since it uses as much as digits as its factorization.

105001010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164064098 (or 164064086 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 105001010560 in words is "one hundred five billion, one million, ten thousand, five hundred sixty".