10139200 has 42 divisors (see below), whose sum is σ = 24952706. Its totient is φ = 4055040.

The previous prime is 10139149. The next prime is 10139203. The reversal of 10139200 is 293101.

It can be written as a sum of positive squares in 3 ways, for example, as 304704 + 9834496 = 552^2 + 3136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10139203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1569 + ... + 4768.

Almost surely, 2^10139200 is an apocalyptic number.

10139200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10139200 is an abundant number, since it is smaller than the sum of its proper divisors (14813506).

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

10139200 is an equidigital number, since it uses as much as digits as its factorization.

10139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10139200 is about 3184.2110482818. The cubic root of 10139200 is about 216.4385238285.

The spelling of 10139200 in words is "ten million, one hundred thirty-nine thousand, two hundred".