100267921 has 16 divisors (see below), whose sum is σ = 120355200. Its totient is φ = 82522368.

The previous prime is 100267907. The next prime is 100267927. The reversal of 100267921 is 129762001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100267921 - 2⁵ = 100267889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100267921.

It is not an unprimeable number, because it can be changed into a prime (100267927) 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, 7741 + ... + 16138.

It is an arithmetic number, because the mean of its divisors is an integer number (7522200).

Almost surely, 2^100267921 is an apocalyptic number.

It is an amenable number.

100267921 is a deficient number, since it is larger than the sum of its proper divisors (20087279).

100267921 is a wasteful number, since it uses less digits than its factorization.

100267921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23928.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 100267921 is about 10013.3870892920. The cubic root of 100267921 is about 464.5730400842.

The spelling of 100267921 in words is "one hundred million, two hundred sixty-seven thousand, nine hundred twenty-one".