100901988 has 36 divisors (see below), whose sum is σ = 278245968. Its totient is φ = 30576240.

The previous prime is 100901939. The next prime is 100902013. The reversal of 100901988 is 889109001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100901988² = 20362422364704288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127006 + ... + 127797.

Almost surely, 2^100901988 is an apocalyptic number.

100901988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100901988 is an abundant number, since it is smaller than the sum of its proper divisors (177343980).

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

100901988 is a wasteful number, since it uses less digits than its factorization.

100901988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254824 (or 254819 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 100901988 is about 10044.9981582875. The cubic root of 100901988 is about 465.5502608325.

The spelling of 100901988 in words is "one hundred million, nine hundred one thousand, nine hundred eighty-eight".