106631610 has 32 divisors (see below), whose sum is σ = 269386560. Its totient is φ = 26938368.

The previous prime is 106631587. The next prime is 106631683. The reversal of 106631610 is 16136601.

It is a super-2 number, since 2×106631610² = 22740600502384200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92967 + ... + 94106.

It is an arithmetic number, because the mean of its divisors is an integer number (8418330).

Almost surely, 2^106631610 is an apocalyptic number.

106631610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106631610 is an abundant number, since it is smaller than the sum of its proper divisors (162754950).

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

106631610 is a wasteful number, since it uses less digits than its factorization.

106631610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187102.

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

The square root of 106631610 is about 10326.2582768397. The cubic root of 106631610 is about 474.2004795629.

The spelling of 106631610 in words is "one hundred six million, six hundred thirty-one thousand, six hundred ten".