100051200 has 270 divisors, whose sum is σ = 371851634. Its totient is φ = 26542080.

The previous prime is 100051199. The next prime is 100051243. The reversal of 100051200 is 2150001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 98724096 = 1152^2 + 9936^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518304 + ... + 518496.

Almost surely, 2^100051200 is an apocalyptic number.

100051200 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 100051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185925817).

100051200 is an abundant number, since it is smaller than the sum of its proper divisors (271800434).

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

100051200 is an equidigital number, since it uses as much as digits as its factorization.

100051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 100051200 is about 10002.5596724039. The cubic root of 100051200 is about 464.2380862949.

The spelling of 100051200 in words is "one hundred million, fifty-one thousand, two hundred".