100090320 has 160 divisors (see below), whose sum is σ = 349691904. Its totient is φ = 23462400.

The previous prime is 100090297. The next prime is 100090321. The reversal of 100090320 is 23090001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100090320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100090321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81229 + ... + 82451.

Almost surely, 2^100090320 is an apocalyptic number.

100090320 is a gapful number since it is divisible by the number (10) 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 100090320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174845952).

100090320 is an abundant number, since it is smaller than the sum of its proper divisors (249601584).

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

100090320 is a wasteful number, since it uses less digits than its factorization.

100090320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 100090320 is about 10004.5149807474. The cubic root of 100090320 is about 464.2985840783.

The spelling of 100090320 in words is "one hundred million, ninety thousand, three hundred twenty".