100009600 has 48 divisors (see below), whose sum is σ = 247062870. Its totient is φ = 40002560.

The previous prime is 100009573. The next prime is 100009607. The reversal of 100009600 is 6900001.

It can be written as a sum of positive squares in 3 ways, for example, as 78996544 + 21013056 = 8888^2 + 4584^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100009607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12427 + ... + 18826.

Almost surely, 2^100009600 is an apocalyptic number.

100009600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100009600 is an abundant number, since it is smaller than the sum of its proper divisors (147053270).

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

100009600 is an equidigital number, since it uses as much as digits as its factorization.

100009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31277 (or 31260 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 100009600 is about 10000.4799884806. The cubic root of 100009600 is about 464.1737359703.

Adding to 100009600 its reverse (6900001), we get a palindrome (106909601).

It can be divided in two parts, 10000 and 9600, that added together give a square (19600 = 140²).

The spelling of 100009600 in words is "one hundred million, nine thousand, six hundred".