105010600560 has 160 divisors (see below), whose sum is σ = 333688142592. Its totient is φ = 27302184960.

The previous prime is 105010600531. The next prime is 105010600573. The reversal of 105010600560 is 65006010501.

It is a super-2 number, since 2×105010600560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105010600560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23092207 + ... + 23096753.

Almost surely, 2^105010600560 is an apocalyptic number.

105010600560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105010600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166844071296).

105010600560 is an abundant number, since it is smaller than the sum of its proper divisors (228677542032).

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

105010600560 is a wasteful number, since it uses less digits than its factorization.

105010600560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 105010600560 in words is "one hundred five billion, ten million, six hundred thousand, five hundred sixty".