100116900 has 216 divisors, whose sum is σ = 347547200. Its totient is φ = 23950080.

The previous prime is 100116899. The next prime is 100116911. The reversal of 100116900 is 9611001.

It is a super-3 number, since 3×100116900³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 503001 + ... + 503199.

Almost surely, 2^100116900 is an apocalyptic number.

100116900 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 100116900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173773600).

100116900 is an abundant number, since it is smaller than the sum of its proper divisors (247430300).

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

100116900 is a wasteful number, since it uses less digits than its factorization.

100116900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 100116900 is about 10005.8432927965. The cubic root of 100116900 is about 464.3396801740.

Adding to 100116900 its reverse (9611001), we get a palindrome (109727901).

The spelling of 100116900 in words is "one hundred million, one hundred sixteen thousand, nine hundred".