100935636893 has 24 divisors (see below), whose sum is σ = 126479108952. Its totient is φ = 79840785024.

The previous prime is 100935636889. The next prime is 100935636911. The reversal of 100935636893 is 398636539001.

It can be written as a sum of positive squares in 4 ways, for example, as 201129124 + 100734507769 = 14182^2 + 317387^2 .

It is not a de Polignac number, because 100935636893 - 2² = 100935636889 is a prime.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100935636293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2782871 + ... + 2818907.

It is an arithmetic number, because the mean of its divisors is an integer number (5269962873).

Almost surely, 2^100935636893 is an apocalyptic number.

100935636893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100935636893 is a deficient number, since it is larger than the sum of its proper divisors (25543472059).

100935636893 is a wasteful number, since it uses less digits than its factorization.

100935636893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40461 (or 40454 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 53.

The spelling of 100935636893 in words is "one hundred billion, nine hundred thirty-five million, six hundred thirty-six thousand, eight hundred ninety-three".