100213589 has 32 divisors (see below), whose sum is σ = 127526400. Its totient is φ = 76769280.

The previous prime is 100213583. The next prime is 100213601. The reversal of 100213589 is 985312001.

It is not a de Polignac number, because 100213589 - 2¹² = 100209493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244817 + ... + 245225.

It is an arithmetic number, because the mean of its divisors is an integer number (3985200).

Almost surely, 2^100213589 is an apocalyptic number.

It is an amenable number.

100213589 is a deficient number, since it is larger than the sum of its proper divisors (27312811).

100213589 is a wasteful number, since it uses less digits than its factorization.

100213589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 100213589 is about 10010.6737535493. The cubic root of 100213589 is about 464.4891124675.

The spelling of 100213589 in words is "one hundred million, two hundred thirteen thousand, five hundred eighty-nine".