100636880 has 20 divisors (see below), whose sum is σ = 233980932. Its totient is φ = 40254720.

The previous prime is 100636853. The next prime is 100636883. The reversal of 100636880 is 88636001.

It can be written as a sum of positive squares in 2 ways, for example, as 62789776 + 37847104 = 7924^2 + 6152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×100636880² = 20255563232268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100636883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 628901 + ... + 629060.

Almost surely, 2^100636880 is an apocalyptic number.

100636880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100636880 is an abundant number, since it is smaller than the sum of its proper divisors (133344052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100636880 is a wasteful number, since it uses less digits than its factorization.

100636880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257974 (or 1257968 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 100636880 is about 10031.7934587989. The cubic root of 100636880 is about 465.1421772045.

The spelling of 100636880 in words is "one hundred million, six hundred thirty-six thousand, eight hundred eighty".