106112960 has 28 divisors (see below), whose sum is σ = 252682248. Its totient is φ = 42445056.

The previous prime is 106112933. The next prime is 106112971. The reversal of 106112960 is 69211601.

It is a super-2 number, since 2×106112960² = 22519920559923200, 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, 165482 + ... + 166121.

It is an arithmetic number, because the mean of its divisors is an integer number (9024366).

Almost surely, 2^106112960 is an apocalyptic number.

106112960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106112960 is an abundant number, since it is smaller than the sum of its proper divisors (146569288).

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

106112960 is an equidigital number, since it uses as much as digits as its factorization.

106112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331620 (or 331610 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 106112960 is about 10301.1145028099. The cubic root of 106112960 is about 473.4304017460.

The spelling of 106112960 in words is "one hundred six million, one hundred twelve thousand, nine hundred sixty".