100288672 has 72 divisors (see below), whose sum is σ = 221205600. Its totient is φ = 44711040.

The previous prime is 100288663. The next prime is 100288673. The reversal of 100288672 is 276882001.

It is a hoax number, since the sum of its digits (34) 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 (100288673) 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, 228229 + ... + 228667.

It is an arithmetic number, because the mean of its divisors is an integer number (3072300).

Almost surely, 2^100288672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110602800).

100288672 is an abundant number, since it is smaller than the sum of its proper divisors (120916928).

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

100288672 is a wasteful number, since it uses less digits than its factorization.

100288672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 100288672 is about 10014.4231985672. The cubic root of 100288672 is about 464.6050865257.

The spelling of 100288672 in words is "one hundred million, two hundred eighty-eight thousand, six hundred seventy-two".