101009988 has 36 divisors (see below), whose sum is σ = 270351900. Its totient is φ = 31689216.

The previous prime is 101009983. The next prime is 101010031. The reversal of 101009988 is 889900101.

It can be written as a sum of positive squares in 2 ways, for example, as 90782784 + 10227204 = 9528^2 + 3198^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (101009983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81913 + ... + 83136.

It is an arithmetic number, because the mean of its divisors is an integer number (7509775).

Almost surely, 2^101009988 is an apocalyptic number.

101009988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101009988 is an abundant number, since it is smaller than the sum of its proper divisors (169341912).

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

101009988 is a wasteful number, since it uses less digits than its factorization.

101009988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165076 (or 165071 counting only the distinct ones).

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

The square root of 101009988 is about 10050.3725304090. The cubic root of 101009988 is about 465.7163014991.

The spelling of 101009988 in words is "one hundred one million, nine thousand, nine hundred eighty-eight".