107538761 has 16 divisors (see below), whose sum is σ = 121299648. Its totient is φ = 94478400.

The previous prime is 107538713. The next prime is 107538799. The reversal of 107538761 is 167835701.

It is a cyclic number.

It is not a de Polignac number, because 107538761 - 2¹⁰ = 107537737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107531761) 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, 65531 + ... + 67151.

It is an arithmetic number, because the mean of its divisors is an integer number (7581228).

Almost surely, 2^107538761 is an apocalyptic number.

107538761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107538761 is a deficient number, since it is larger than the sum of its proper divisors (13760887).

107538761 is a wasteful number, since it uses less digits than its factorization.

107538761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832.

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 107538761 is about 10370.0897296022. The cubic root of 107538761 is about 475.5414118347.

The spelling of 107538761 in words is "one hundred seven million, five hundred thirty-eight thousand, seven hundred sixty-one".