100275200 has 66 divisors (see below), whose sum is σ = 248624526. Its totient is φ = 40099840.

The previous prime is 100275187. The next prime is 100275211. The reversal of 100275200 is 2572001.

It can be written as a sum of positive squares in 3 ways, for example, as 16516096 + 83759104 = 4064^2 + 9152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23642 + ... + 27558.

Almost surely, 2^100275200 is an apocalyptic number.

100275200 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 100275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124312263).

100275200 is an abundant number, since it is smaller than the sum of its proper divisors (148349326).

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

100275200 is an equidigital number, since it uses as much as digits as its factorization.

100275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 100275200 is about 10013.7505461241. The cubic root of 100275200 is about 464.5842817831.

The spelling of 100275200 in words is "one hundred million, two hundred seventy-five thousand, two hundred".