31248100 has 81 divisors (see below), whose sum is σ = 75172923. Its totient is φ = 11269440.

The previous prime is 31248097. The next prime is 31248101. The reversal of 31248100 is 184213.

The square root of 31248100 is 5590.

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 8054244 + 23193856 = 2838^2 + 4816^2 .

It is a super-2 number, since 2×31248100² = 1952887507220000, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (31248101) 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, 726679 + ... + 726721.

Almost surely, 2^31248100 is an apocalyptic number.

31248100 is the 5590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31248100

31248100 is an abundant number, since it is smaller than the sum of its proper divisors (43924823).

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

31248100 is a wasteful number, since it uses less digits than its factorization.

31248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The cubic root of 31248100 is about 314.9738787444.

The spelling of 31248100 in words is "thirty-one million, two hundred forty-eight thousand, one hundred".