107137953 has 48 divisors (see below), whose sum is σ = 174254080. Its totient is φ = 62985600.

The previous prime is 107137951. The next prime is 107137997. The reversal of 107137953 is 359731701.

It is not a de Polignac number, because 107137953 - 2¹ = 107137951 is a prime.

It is a super-2 number, since 2×107137953² = 22957081946060418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107137951) 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 47 ways as a sum of consecutive naturals, for example, 395208 + ... + 395478.

Almost surely, 2^107137953 is an apocalyptic number.

107137953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107137953 is a deficient number, since it is larger than the sum of its proper divisors (67116127).

107137953 is a wasteful number, since it uses less digits than its factorization.

107137953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The square root of 107137953 is about 10350.7464948186. The cubic root of 107137953 is about 474.9498791067.

The spelling of 107137953 in words is "one hundred seven million, one hundred thirty-seven thousand, nine hundred fifty-three".