106647657 has 16 divisors (see below), whose sum is σ = 147095040. Its totient is φ = 68659200.

The previous prime is 106647577. The next prime is 106647659. The reversal of 106647657 is 756746601.

It is not a de Polignac number, because 106647657 - 2²² = 102453353 is a prime.

It is a super-2 number, since 2×106647657² = 22747445487179298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106647659) 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 15 ways as a sum of consecutive naturals, for example, 58719 + ... + 60507.

It is an arithmetic number, because the mean of its divisors is an integer number (9193440).

Almost surely, 2^106647657 is an apocalyptic number.

It is an amenable number.

106647657 is a deficient number, since it is larger than the sum of its proper divisors (40447383).

106647657 is a wasteful number, since it uses less digits than its factorization.

106647657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464.

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 106647657 is about 10327.0352473496. The cubic root of 106647657 is about 474.2242658598.

The spelling of 106647657 in words is "one hundred six million, six hundred forty-seven thousand, six hundred fifty-seven".