106364672 has 36 divisors (see below), whose sum is σ = 213700200. Its totient is φ = 52835328.

The previous prime is 106364651. The next prime is 106364681. The reversal of 106364672 is 276463601.

It is a super-2 number, since 2×106364672² = 22626886899335168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40454 + ... + 43002.

Almost surely, 2^106364672 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 106364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106850100).

106364672 is an abundant number, since it is smaller than the sum of its proper divisors (107335528).

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

106364672 is an equidigital number, since it uses as much as digits as its factorization.

106364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 106364672 is about 10313.3249730628. The cubic root of 106364672 is about 473.8044497118.

The spelling of 106364672 in words is "one hundred six million, three hundred sixty-four thousand, six hundred seventy-two".