101900988 has 108 divisors (see below), whose sum is σ = 304871112. Its totient is φ = 28607040.

The previous prime is 101900977. The next prime is 101900993. The reversal of 101900988 is 889009101.

It is a super-2 number, since 2×101900988² = 20767622710752288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107131 + ... + 108077.

Almost surely, 2^101900988 is an apocalyptic number.

101900988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101900988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152435556).

101900988 is an abundant number, since it is smaller than the sum of its proper divisors (202970124).

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

101900988 is a wasteful number, since it uses less digits than its factorization.

101900988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1020 counting only the distinct ones).

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

The square root of 101900988 is about 10094.6019238007. The cubic root of 101900988 is about 467.0816419920.

The spelling of 101900988 in words is "one hundred one million, nine hundred thousand, nine hundred eighty-eight".