107962137 has 12 divisors (see below), whose sum is σ = 156292500. Its totient is φ = 71814528.

The previous prime is 107962097. The next prime is 107962171. The reversal of 107962137 is 731269701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88566921 + 19395216 = 9411^2 + 4404^2 .

It is not a de Polignac number, because 107962137 - 2¹¹ = 107960089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107962187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9012 + ... + 17237.

It is an arithmetic number, because the mean of its divisors is an integer number (13024375).

Almost surely, 2^107962137 is an apocalyptic number.

It is an amenable number.

107962137 is a deficient number, since it is larger than the sum of its proper divisors (48330363).

107962137 is a wasteful number, since it uses less digits than its factorization.

107962137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26712 (or 26709 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 107962137 is about 10390.4830012854. The cubic root of 107962137 is about 476.1646574505.

The spelling of 107962137 in words is "one hundred seven million, nine hundred sixty-two thousand, one hundred thirty-seven".