10138765800 has 96 divisors (see below), whose sum is σ = 31718728800. Its totient is φ = 2678849280.

The previous prime is 10138765657. The next prime is 10138765801. The reversal of 10138765800 is 856783101.

It is not an unprimeable number, because it can be changed into a prime (10138765801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12114 + ... + 142913.

It is an arithmetic number, because the mean of its divisors is an integer number (330403425).

Almost surely, 2^10138765800 is an apocalyptic number.

10138765800 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 10138765800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859364400).

10138765800 is an abundant number, since it is smaller than the sum of its proper divisors (21579963000).

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

10138765800 is a wasteful number, since it uses less digits than its factorization.

10138765800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155155 (or 155146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10138765800 in words is "ten billion, one hundred thirty-eight million, seven hundred sixty-five thousand, eight hundred".