10112400 has 135 divisors (see below), whose sum is σ = 35767459. Its totient is φ = 2645760.

The previous prime is 10112371. The next prime is 10112407. The reversal of 10112400 is 421101.

It is a happy number.

The square root of 10112400 is 3180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 10036224 = 276^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10112407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 190774 + ... + 190826.

Almost surely, 2^10112400 is an apocalyptic number.

10112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10112400 is the 3180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112400

10112400 is an abundant number, since it is smaller than the sum of its proper divisors (25655059).

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

10112400 is a wasteful number, since it uses less digits than its factorization.

10112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 10112400 is about 216.2476583216.

Adding to 10112400 its reverse (421101), we get a palindrome (10533501).

The spelling of 10112400 in words is "ten million, one hundred twelve thousand, four hundred".