100288512 has 72 divisors (see below), whose sum is σ = 289704870. Its totient is φ = 33423360.

The previous prime is 100288499. The next prime is 100288543. The reversal of 100288512 is 215882001.

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 23970816 = 8736^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15712 + ... + 21152.

Almost surely, 2^100288512 is an apocalyptic number.

100288512 is a gapful number since it is divisible by the number (12) 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 100288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144852435).

100288512 is an abundant number, since it is smaller than the sum of its proper divisors (189416358).

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

100288512 is an equidigital number, since it uses as much as digits as its factorization.

100288512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 100288512 is about 10014.4152100859. The cubic root of 100288512 is about 464.6048394494.

The spelling of 100288512 in words is "one hundred million, two hundred eighty-eight thousand, five hundred twelve".