10138800 has 240 divisors, whose sum is σ = 39854592. Its totient is φ = 2150400.

The previous prime is 10138789. The next prime is 10138801. The reversal of 10138800 is 883101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10138801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142765 + ... + 142835.

Almost surely, 2^10138800 is an apocalyptic number.

10138800 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 10138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927296).

10138800 is an abundant number, since it is smaller than the sum of its proper divisors (29715792).

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

10138800 is a wasteful number, since it uses less digits than its factorization.

10138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10138800 is about 3184.1482377553. The cubic root of 10138800 is about 216.4356775636.

The spelling of 10138800 in words is "ten million, one hundred thirty-eight thousand, eight hundred".