100609893 has 12 divisors (see below), whose sum is σ = 153874188. Its totient is φ = 63127680.

The previous prime is 100609829. The next prime is 100609909. The reversal of 100609893 is 398906001.

It can be written as a sum of positive squares in 2 ways, for example, as 47858724 + 52751169 = 6918^2 + 7263^2 .

It is not a de Polignac number, because 100609893 - 2⁶ = 100609829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100609193) 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 11 ways as a sum of consecutive naturals, for example, 328638 + ... + 328943.

It is an arithmetic number, because the mean of its divisors is an integer number (12822849).

Almost surely, 2^100609893 is an apocalyptic number.

It is an amenable number.

100609893 is a deficient number, since it is larger than the sum of its proper divisors (53264295).

100609893 is a wasteful number, since it uses less digits than its factorization.

100609893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657604 (or 657601 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 100609893 is about 10030.4482950664. The cubic root of 100609893 is about 465.1005956485.

The spelling of 100609893 in words is "one hundred million, six hundred nine thousand, eight hundred ninety-three".