106512960 has 56 divisors (see below), whose sum is σ = 338181696. Its totient is φ = 28403200.

The previous prime is 106512953. The next prime is 106512983. The reversal of 106512960 is 69215601.

It is a super-2 number, since 2×106512960² = 22690021295923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54516 + ... + 56435.

Almost surely, 2^106512960 is an apocalyptic number.

106512960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106512960 is an abundant number, since it is smaller than the sum of its proper divisors (231668736).

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

106512960 is a wasteful number, since it uses less digits than its factorization.

106512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110971 (or 110961 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 106512960 is about 10320.5116152253. The cubic root of 106512960 is about 474.0245318358.

The spelling of 106512960 in words is "one hundred six million, five hundred twelve thousand, nine hundred sixty".