100191800 has 48 divisors (see below), whose sum is σ = 236454360. Its totient is φ = 39473280.

The previous prime is 100191787. The next prime is 100191821. The reversal of 100191800 is 8191001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9662 + ... + 17138.

Almost surely, 2^100191800 is an apocalyptic number.

100191800 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 100191800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118227180).

100191800 is an abundant number, since it is smaller than the sum of its proper divisors (136262560).

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

100191800 is a wasteful number, since it uses less digits than its factorization.

100191800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 100191800 is about 10009.5854059996. The cubic root of 100191800 is about 464.4554460857.

The spelling of 100191800 in words is "one hundred million, one hundred ninety-one thousand, eight hundred".