120106656 has 36 divisors (see below), whose sum is σ = 341554122. Its totient is φ = 40035456.

The previous prime is 120106643. The next prime is 120106663. The reversal of 120106656 is 656601021.

It is a happy number.

120106656 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 6 + 656 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107744400 + 12362256 = 10380^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208231 + ... + 208806.

Almost surely, 2^120106656 is an apocalyptic number.

120106656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120106656 is an abundant number, since it is smaller than the sum of its proper divisors (221447466).

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

120106656 is a wasteful number, since it uses less digits than its factorization.

120106656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417053 (or 417042 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 120106656 is about 10959.3182269701. The cubic root of 120106656 is about 493.3885028797.

Adding to 120106656 its reverse (656601021), we get a palindrome (776707677).

The spelling of 120106656 in words is "one hundred twenty million, one hundred six thousand, six hundred fifty-six".