105051000560 has 80 divisors (see below), whose sum is σ = 267642869760. Its totient is φ = 38028990720.

The previous prime is 105051000553. The next prime is 105051000599. The reversal of 105051000560 is 65000150501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105051000560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 71420 + ... + 463899.

It is an arithmetic number, because the mean of its divisors is an integer number (3345535872).

Almost surely, 2^105051000560 is an apocalyptic number.

105051000560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105051000560 is an abundant number, since it is smaller than the sum of its proper divisors (162591869200).

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

105051000560 is a wasteful number, since it uses less digits than its factorization.

105051000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535566 (or 535560 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 105051000560 in words is "one hundred five billion, fifty-one million, five hundred sixty", and thus it is an aban number.