106906968 has 48 divisors (see below), whose sum is σ = 330904080. Its totient is φ = 30544704.

The previous prime is 106906957. The next prime is 106906993. The reversal of 106906968 is 869609601.

It is a super-2 number, since 2×106906968² = 22858199613906048, 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, 105555 + ... + 106562.

It is an arithmetic number, because the mean of its divisors is an integer number (6893835).

Almost surely, 2^106906968 is an apocalyptic number.

106906968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106906968 is an abundant number, since it is smaller than the sum of its proper divisors (223997112).

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

106906968 is a wasteful number, since it uses less digits than its factorization.

106906968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212136 (or 212129 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 106906968 is about 10339.5825834508. The cubic root of 106906968 is about 474.6083094138.

The spelling of 106906968 in words is "one hundred six million, nine hundred six thousand, nine hundred sixty-eight".