10106715040 has 48 divisors (see below), whose sum is σ = 23884041888. Its totient is φ = 4041513216.

The previous prime is 10106715019. The next prime is 10106715043. The reversal of 10106715040 is 4051760101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10106714996 and 10106715014.

It is not an unprimeable number, because it can be changed into a prime (10106715043) 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, 729619 + ... + 743341.

It is an arithmetic number, because the mean of its divisors is an integer number (497584206).

Almost surely, 2^10106715040 is an apocalyptic number.

10106715040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106715040 is an abundant number, since it is smaller than the sum of its proper divisors (13777326848).

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

10106715040 is a wasteful number, since it uses less digits than its factorization.

10106715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18341 (or 18333 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 10106715040 in words is "ten billion, one hundred six million, seven hundred fifteen thousand, forty".