10120400 has 30 divisors (see below), whose sum is σ = 24315222. Its totient is φ = 4048000.

The previous prime is 10120387. The next prime is 10120421. The reversal of 10120400 is 402101.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 9096256 = 1012^2 + 3016^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12251 + ... + 13050.

Almost surely, 2^10120400 is an apocalyptic number.

10120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120400 is an abundant number, since it is smaller than the sum of its proper divisors (14194822).

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

10120400 is a wasteful number, since it uses less digits than its factorization.

10120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25319 (or 25308 counting only the distinct ones).

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

The square root of 10120400 is about 3181.2576129575. The cubic root of 10120400 is about 216.3046683709.

Adding to 10120400 its reverse (402101), we get a palindrome (10522501).

The spelling of 10120400 in words is "ten million, one hundred twenty thousand, four hundred".