100638967 has 24 divisors (see below), whose sum is σ = 120255408. Its totient is φ = 83656320.

The previous prime is 100638947. The next prime is 100638983. The reversal of 100638967 is 769836001.

It is not a de Polignac number, because 100638967 - 2¹⁵ = 100606199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100638947) 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 23 ways as a sum of consecutive naturals, for example, 215268 + ... + 215734.

It is an arithmetic number, because the mean of its divisors is an integer number (5010642).

Almost surely, 2^100638967 is an apocalyptic number.

100638967 is a deficient number, since it is larger than the sum of its proper divisors (19616441).

100638967 is a wasteful number, since it uses less digits than its factorization.

100638967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 100638967 is about 10031.8974775463. The cubic root of 100638967 is about 465.1453925433.

The spelling of 100638967 in words is "one hundred million, six hundred thirty-eight thousand, nine hundred sixty-seven".