100080288 has 144 divisors (see below), whose sum is σ = 354908736. Its totient is φ = 25989120.

The previous prime is 100080229. The next prime is 100080289. The reversal of 100080288 is 882080001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100080289) 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, 19920 + ... + 24432.

It is an arithmetic number, because the mean of its divisors is an integer number (2464644).

Almost surely, 2^100080288 is an apocalyptic number.

100080288 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 100080288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177454368).

100080288 is an abundant number, since it is smaller than the sum of its proper divisors (254828448).

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

100080288 is a wasteful number, since it uses less digits than its factorization.

100080288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 100080288 is about 10004.0135945529. The cubic root of 100080288 is about 464.2830714259.

The spelling of 100080288 in words is "one hundred million, eighty thousand, two hundred eighty-eight".