100814200 has 48 divisors (see below), whose sum is σ = 235118880. Its totient is φ = 40200960.

The previous prime is 100814177. The next prime is 100814213. The reversal of 100814200 is 2418001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90849 + ... + 91951.

It is an arithmetic number, because the mean of its divisors is an integer number (4898310).

Almost surely, 2^100814200 is an apocalyptic number.

100814200 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 100814200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117559440).

100814200 is an abundant number, since it is smaller than the sum of its proper divisors (134304680).

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

100814200 is a wasteful number, since it uses less digits than its factorization.

100814200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 100814200 is about 10040.6274704323. The cubic root of 100814200 is about 465.4152070525.

The spelling of 100814200 in words is "one hundred million, eight hundred fourteen thousand, two hundred".