31106400 has 144 divisors (see below), whose sum is σ = 109149264. Its totient is φ = 7649280.

The previous prime is 31106399. The next prime is 31106417. The reversal of 31106400 is 460113.

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 31106400.

It is a congruent number.

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, 30702 + ... + 31698.

It is an arithmetic number, because the mean of its divisors is an integer number (757981).

Almost surely, 2^31106400 is an apocalyptic number.

31106400 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 31106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54574632).

31106400 is an abundant number, since it is smaller than the sum of its proper divisors (78042864).

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

31106400 is a wasteful number, since it uses less digits than its factorization.

31106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1020 counting only the distinct ones).

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

The square root of 31106400 is about 5577.3111801297. The cubic root of 31106400 is about 314.4970558050.

Subtracting from 31106400 its product of nonzero digits (72), we obtain a triangular number (31106328 = T₇₈₈₇).

Adding to 31106400 its reverse (460113), we get a palindrome (31566513).

The spelling of 31106400 in words is "thirty-one million, one hundred six thousand, four hundred".