10105600608 has 48 divisors (see below), whose sum is σ = 29474670960. Its totient is φ = 3368533248.

The previous prime is 10105600601. The next prime is 10105600621. The reversal of 10105600608 is 80600650101.

10105600608 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 56 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105600601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5847285 + ... + 5849012.

It is an arithmetic number, because the mean of its divisors is an integer number (614055645).

Almost surely, 2^10105600608 is an apocalyptic number.

10105600608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10105600608 is an abundant number, since it is smaller than the sum of its proper divisors (19369070352).

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

10105600608 is a wasteful number, since it uses less digits than its factorization.

10105600608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11696316 (or 11696302 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10105600608 in words is "ten billion, one hundred five million, six hundred thousand, six hundred eight".