100089472 has 64 divisors (see below), whose sum is σ = 241323840. Its totient is φ = 40366080.

The previous prime is 100089439. The next prime is 100089499. The reversal of 100089472 is 274980001.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11947 + ... + 18517.

It is an arithmetic number, because the mean of its divisors is an integer number (3770685).

Almost surely, 2^100089472 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 100089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120661920).

100089472 is an abundant number, since it is smaller than the sum of its proper divisors (141234368).

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

100089472 is an equidigital number, since it uses as much as digits as its factorization.

100089472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 100089472 is about 10004.4725997926. The cubic root of 100089472 is about 464.2972728416.

The spelling of 100089472 in words is "one hundred million, eighty-nine thousand, four hundred seventy-two".