100097200 has 90 divisors (see below), whose sum is σ = 279800916. Its totient is φ = 34312320.

The previous prime is 100097197. The next prime is 100097237. The reversal of 100097200 is 2790001.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17047 + ... + 22153.

Almost surely, 2^100097200 is an apocalyptic number.

100097200 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 100097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139900458).

100097200 is an abundant number, since it is smaller than the sum of its proper divisors (179703716).

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

100097200 is a wasteful number, since it uses less digits than its factorization.

100097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100097200 is about 10004.8588195936. The cubic root of 100097200 is about 464.3092221402.

The spelling of 100097200 in words is "one hundred million, ninety-seven thousand, two hundred".