106656456 has 32 divisors (see below), whose sum is σ = 267452640. Its totient is φ = 35443968.

The previous prime is 106656437. The next prime is 106656463. The reversal of 106656456 is 654656601.

It is a super-2 number, since 2×106656456² = 22751199212959872, which contains 22 as substring.

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, 1495 + ... + 14681.

It is an arithmetic number, because the mean of its divisors is an integer number (8357895).

Almost surely, 2^106656456 is an apocalyptic number.

It is an amenable number.

106656456 is an abundant number, since it is smaller than the sum of its proper divisors (160796184).

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

106656456 is a wasteful number, since it uses less digits than its factorization.

106656456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13533 (or 13529 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 106656456 is about 10327.4612562817. The cubic root of 106656456 is about 474.2373075108.

The spelling of 106656456 in words is "one hundred six million, six hundred fifty-six thousand, four hundred fifty-six".