106957137 has 16 divisors (see below), whose sum is σ = 171560960. Its totient is φ = 57901392.

The previous prime is 106957129. The next prime is 106957139. The reversal of 106957137 is 731759601.

It is not a de Polignac number, because 106957137 - 2³ = 106957129 is a prime.

It is a super-2 number, since 2×106957137² = 22879658310473538, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106957095 and 106957104.

It is not an unprimeable number, because it can be changed into a prime (106957139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133633 + ... + 134430.

It is an arithmetic number, because the mean of its divisors is an integer number (10722560).

Almost surely, 2^106957137 is an apocalyptic number.

It is an amenable number.

106957137 is a deficient number, since it is larger than the sum of its proper divisors (64603823).

106957137 is a wasteful number, since it uses less digits than its factorization.

106957137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268092.

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 106957137 is about 10342.0083639494. The cubic root of 106957137 is about 474.6825387526.

The spelling of 106957137 in words is "one hundred six million, nine hundred fifty-seven thousand, one hundred thirty-seven".