106310904 has 128 divisors (see below), whose sum is σ = 317952000. Its totient is φ = 28984320.

The previous prime is 106310903. The next prime is 106310917. The reversal of 106310904 is 409013601.

It is a super-2 number, since 2×106310904² = 22604016618594432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106310903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713422 + ... + 713570.

It is an arithmetic number, because the mean of its divisors is an integer number (2484000).

Almost surely, 2^106310904 is an apocalyptic number.

106310904 is a gapful number since it is divisible by the number (14) 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 106310904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976000).

106310904 is an abundant number, since it is smaller than the sum of its proper divisors (211641096).

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

106310904 is a wasteful number, since it uses less digits than its factorization.

106310904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106310904 is about 10310.7179187484. The cubic root of 106310904 is about 473.7245992280.

The spelling of 106310904 in words is "one hundred six million, three hundred ten thousand, nine hundred four".