100256967 has 16 divisors (see below), whose sum is σ = 149921280. Its totient is φ = 66211416.

The previous prime is 100256957. The next prime is 100256971. The reversal of 100256967 is 769652001.

It is not a de Polignac number, because 100256967 - 2¹⁰ = 100255943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100256957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14463 + ... + 20240.

It is an arithmetic number, because the mean of its divisors is an integer number (9370080).

Almost surely, 2^100256967 is an apocalyptic number.

100256967 is a deficient number, since it is larger than the sum of its proper divisors (49664313).

100256967 is a wasteful number, since it uses less digits than its factorization.

100256967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34819 (or 34813 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 100256967 is about 10012.8401065831. The cubic root of 100256967 is about 464.5561216841.

The spelling of 100256967 in words is "one hundred million, two hundred fifty-six thousand, nine hundred sixty-seven".