100090593 has 16 divisors (see below), whose sum is σ = 148993600. Its totient is φ = 66407040.

The previous prime is 100090583. The next prime is 100090597. The reversal of 100090593 is 395090001.

It is not a de Polignac number, because 100090593 - 2⁸ = 100090337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100090597) 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, 3088 + ... + 14481.

It is an arithmetic number, because the mean of its divisors is an integer number (9312100).

Almost surely, 2^100090593 is an apocalyptic number.

It is an amenable number.

100090593 is a deficient number, since it is larger than the sum of its proper divisors (48903007).

100090593 is a wasteful number, since it uses less digits than its factorization.

100090593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17789 (or 17783 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 100090593 is about 10004.5286245780. The cubic root of 100090593 is about 464.2990062084.

The spelling of 100090593 in words is "one hundred million, ninety thousand, five hundred ninety-three".