100427200 has 84 divisors (see below), whose sum is σ = 257952240. Its totient is φ = 38410240.

The previous prime is 100427189. The next prime is 100427207. The reversal of 100427200 is 2724001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100427207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35436 + ... + 38164.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2^100427200 is an apocalyptic number.

100427200 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 100427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128976120).

100427200 is an abundant number, since it is smaller than the sum of its proper divisors (157525040).

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

100427200 is a wasteful number, since it uses less digits than its factorization.

100427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 100427200 is about 10021.3372361177. The cubic root of 100427200 is about 464.8189066284.

The spelling of 100427200 in words is "one hundred million, four hundred twenty-seven thousand, two hundred".