106072160 has 24 divisors (see below), whose sum is σ = 250595856. Its totient is φ = 42428800.

The previous prime is 106072157. The next prime is 106072177. The reversal of 106072160 is 61270601.

It is a super-2 number, since 2×106072160² = 22502606254131200, 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, 331316 + ... + 331635.

It is an arithmetic number, because the mean of its divisors is an integer number (10441494).

Almost surely, 2^106072160 is an apocalyptic number.

106072160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106072160 is an abundant number, since it is smaller than the sum of its proper divisors (144523696).

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

106072160 is an equidigital number, since it uses as much as digits as its factorization.

106072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662966 (or 662958 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106072160 is about 10299.1339441722. The cubic root of 106072160 is about 473.3697166152.

The spelling of 106072160 in words is "one hundred six million, seventy-two thousand, one hundred sixty".