10131600 has 60 divisors (see below), whose sum is σ = 32458736. Its totient is φ = 2701440.

The previous prime is 10131581. The next prime is 10131601. The reversal of 10131600 is 613101.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10131601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3022 + ... + 5421.

Almost surely, 2^10131600 is an apocalyptic number.

10131600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131600 is an abundant number, since it is smaller than the sum of its proper divisors (22327136).

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

10131600 is a wasteful number, since it uses less digits than its factorization.

10131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10131600 is about 3183.0174363330. The cubic root of 10131600 is about 216.3844319887.

Adding to 10131600 its reverse (613101), we get a palindrome (10744701).

It can be divided in two parts, 10131 and 600, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10131600 in words is "ten million, one hundred thirty-one thousand, six hundred".