100089600 has 216 divisors, whose sum is σ = 356612592. Its totient is φ = 24576000.

The previous prime is 100089581. The next prime is 100089611. The reversal of 100089600 is 6980001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249400 + ... + 249800.

Almost surely, 2^100089600 is an apocalyptic number.

100089600 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 100089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178306296).

100089600 is an abundant number, since it is smaller than the sum of its proper divisors (256522992).

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

100089600 is a wasteful number, since it uses less digits than its factorization.

100089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 100089600 is about 10004.4789969293. The cubic root of 100089600 is about 464.2974707646.

The spelling of 100089600 in words is "one hundred million, eighty-nine thousand, six hundred".