31109904 has 90 divisors (see below), whose sum is σ = 101302110. Its totient is φ = 8886528.

The previous prime is 31109893. The next prime is 31109921. The reversal of 31109904 is 40990113.

It can be written as a sum of positive squares in only one way, i.e., 19820304 + 11289600 = 4452^2 + 3360^2 .

It is a super-2 number, since 2×31109904² = 1935652253778432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4852 + ... + 9260.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579).

Almost surely, 2^31109904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31109904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50651055).

31109904 is an abundant number, since it is smaller than the sum of its proper divisors (70192206).

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

31109904 is a wasteful number, since it uses less digits than its factorization.

31109904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 31109904 is about 5577.6253011474. The cubic root of 31109904 is about 314.5088642679.

The spelling of 31109904 in words is "thirty-one million, one hundred nine thousand, nine hundred four".