106332688 has 80 divisors (see below), whose sum is σ = 272018304. Its totient is φ = 38983680.

The previous prime is 106332649. The next prime is 106332713. The reversal of 106332688 is 886233601.

It is a super-2 number, since 2×106332688² = 22613281074610688, which contains 22 as substring.

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, 18406 + ... + 23482.

Almost surely, 2^106332688 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 106332688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136009152).

106332688 is an abundant number, since it is smaller than the sum of its proper divisors (165685616).

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

106332688 is a wasteful number, since it uses less digits than its factorization.

106332688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 106332688 is about 10311.7742411284. The cubic root of 106332688 is about 473.7569537389.

The spelling of 106332688 in words is "one hundred six million, three hundred thirty-two thousand, six hundred eighty-eight".