100097600 has 84 divisors (see below), whose sum is σ = 249968004. Its totient is φ = 39444480.

The previous prime is 100097521. The next prime is 100097603. The reversal of 100097600 is 6790001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2166784 + 97930816 = 1472^2 + 9896^2 .

It is not an unprimeable number, because it can be changed into a prime (100097603) 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, 116372 + ... + 117228.

Almost surely, 2^100097600 is an apocalyptic number.

100097600 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 100097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124984002).

100097600 is an abundant number, since it is smaller than the sum of its proper divisors (149870404).

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

100097600 is an equidigital number, since it uses as much as digits as its factorization.

100097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 100097600 is about 10004.8788098607. The cubic root of 100097600 is about 464.3098406172.

The spelling of 100097600 in words is "one hundred million, ninety-seven thousand, six hundred".