100880967 has 48 divisors (see below), whose sum is σ = 158425344. Its totient is φ = 56918400.

The previous prime is 100880957. The next prime is 100880977. The reversal of 100880967 is 769088001.

It is an interprime number because it is at equal distance from previous prime (100880957) and next prime (100880977).

It is not a de Polignac number, because 100880967 - 2⁶ = 100880903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100880957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358867 + ... + 359147.

It is an arithmetic number, because the mean of its divisors is an integer number (3300528).

Almost surely, 2^100880967 is an apocalyptic number.

100880967 is a deficient number, since it is larger than the sum of its proper divisors (57544377).

100880967 is a wasteful number, since it uses less digits than its factorization.

100880967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 100880967 is about 10043.9517621303. The cubic root of 100880967 is about 465.5179290886.

The spelling of 100880967 in words is "one hundred million, eight hundred eighty thousand, nine hundred sixty-seven".