10145007936 has 84 divisors (see below), whose sum is σ = 33232965792. Its totient is φ = 2898572544.

The previous prime is 10145007919. The next prime is 10145007959. The reversal of 10145007936 is 63970054101.

10145007936 is a `hidden beast` number, since 101 + 450 + 0 + 79 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10145007936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254030 + ... + 1262093.

Almost surely, 2^10145007936 is an apocalyptic number.

10145007936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10145007936 is an abundant number, since it is smaller than the sum of its proper divisors (23087957856).

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

10145007936 is a wasteful number, since it uses less digits than its factorization.

10145007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516148 (or 2516135 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10145007936 in words is "ten billion, one hundred forty-five million, seven thousand, nine hundred thirty-six".