106672320 has 84 divisors (see below), whose sum is σ = 366918240. Its totient is φ = 28445184.

The previous prime is 106672309. The next prime is 106672337. The reversal of 106672320 is 23276601.

It is a happy number.

It is a super-2 number, since 2×106672320² = 22757967708364800, 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 11 ways as a sum of consecutive naturals, for example, 15640 + ... + 21399.

Almost surely, 2^106672320 is an apocalyptic number.

106672320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106672320 is an abundant number, since it is smaller than the sum of its proper divisors (260245920).

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

106672320 is a wasteful number, since it uses less digits than its factorization.

106672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37062 (or 37049 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106672320 is about 10328.2292770833. The cubic root of 106672320 is about 474.2608189104.

The spelling of 106672320 in words is "one hundred six million, six hundred seventy-two thousand, three hundred twenty".