106656072 has 32 divisors (see below), whose sum is σ = 267388800. Its totient is φ = 35452224.

The previous prime is 106656049. The next prime is 106656073. The reversal of 106656072 is 270656601.

It is a super-2 number, since 2×106656072² = 22751035388938368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106656073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2754 + ... + 14862.

It is an arithmetic number, because the mean of its divisors is an integer number (8355900).

Almost surely, 2^106656072 is an apocalyptic number.

106656072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106656072 is an abundant number, since it is smaller than the sum of its proper divisors (160732728).

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

106656072 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 106656072 = (626670510)₈.

106656072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12481 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106656072 is about 10327.4426650551. The cubic root of 106656072 is about 474.2367383709.

The spelling of 106656072 in words is "one hundred six million, six hundred fifty-six thousand, seventy-two".