100076937 has 16 divisors (see below), whose sum is σ = 135465792. Its totient is φ = 65710080.

The previous prime is 100076923. The next prime is 100076939. The reversal of 100076937 is 739670001.

It is not a de Polignac number, because 100076937 - 2⁸ = 100076681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100076898 and 100076907.

It is not an unprimeable number, because it can be changed into a prime (100076939) 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, 69418 + ... + 70844.

It is an arithmetic number, because the mean of its divisors is an integer number (8466612).

Almost surely, 2^100076937 is an apocalyptic number.

It is an amenable number.

100076937 is a deficient number, since it is larger than the sum of its proper divisors (35388855).

100076937 is a wasteful number, since it uses less digits than its factorization.

100076937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768.

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 100076937 is about 10003.8461103718. The cubic root of 100076937 is about 464.2778894866.

The spelling of 100076937 in words is "one hundred million, seventy-six thousand, nine hundred thirty-seven".