107538431 has 32 divisors (see below), whose sum is σ = 147184128. Its totient is φ = 75853440.

The previous prime is 107538407. The next prime is 107538443. The reversal of 107538431 is 134835701.

It is not a de Polignac number, because 107538431 - 2¹⁴ = 107522047 is a prime.

It is a super-2 number, since 2×107538431² = 23129028283883522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107538401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52040 + ... + 54066.

It is an arithmetic number, because the mean of its divisors is an integer number (4599504).

Almost surely, 2^107538431 is an apocalyptic number.

107538431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107538431 is a deficient number, since it is larger than the sum of its proper divisors (39645697).

107538431 is a wasteful number, since it uses less digits than its factorization.

107538431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 107538431 is about 10370.0738184451. The cubic root of 107538431 is about 475.5409254091.

The spelling of 107538431 in words is "one hundred seven million, five hundred thirty-eight thousand, four hundred thirty-one".