31064100 has 72 divisors (see below), whose sum is σ = 95181408. Its totient is φ = 7795200.

The previous prime is 31064093. The next prime is 31064119. The reversal of 31064100 is 146013.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31064100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2055 + ... + 8145.

It is an arithmetic number, because the mean of its divisors is an integer number (1321964).

Almost surely, 2^31064100 is an apocalyptic number.

31064100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31064100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47590704).

31064100 is an abundant number, since it is smaller than the sum of its proper divisors (64117308).

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

31064100 is a wasteful number, since it uses less digits than its factorization.

31064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 31064100 is about 5573.5177401709. The cubic root of 31064100 is about 314.3544349923.

The spelling of 31064100 in words is "thirty-one million, sixty-four thousand, one hundred".