100072621 has 8 divisors (see below), whose sum is σ = 109567584. Its totient is φ = 90643920.

The previous prime is 100072613. The next prime is 100072627. The reversal of 100072621 is 126270001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100072621 - 2³ = 100072613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072627) 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 7 ways as a sum of consecutive naturals, for example, 13375 + ... + 19468.

It is an arithmetic number, because the mean of its divisors is an integer number (13695948).

Almost surely, 2^100072621 is an apocalyptic number.

100072621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100072621 is a deficient number, since it is larger than the sum of its proper divisors (9494963).

100072621 is a wasteful number, since it uses less digits than its factorization.

100072621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33131.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 100072621 is about 10003.6303910131. The cubic root of 100072621 is about 464.2712151144.

The spelling of 100072621 in words is "one hundred million, seventy-two thousand, six hundred twenty-one".