107613200 has 60 divisors (see below), whose sum is σ = 267484740. Its totient is φ = 41556480.

The previous prime is 107613173. The next prime is 107613223. The reversal of 107613200 is 2316701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 200704 + 107412496 = 448^2 + 10364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6962 + ... + 16238.

It is an arithmetic number, because the mean of its divisors is an integer number (4458079).

Almost surely, 2^107613200 is an apocalyptic number.

107613200 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 107613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133742370).

107613200 is an abundant number, since it is smaller than the sum of its proper divisors (159871540).

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

107613200 is a wasteful number, since it uses less digits than its factorization.

107613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 107613200 is about 10373.6782290565. The cubic root of 107613200 is about 475.6511107694.

Adding to 107613200 its reverse (2316701), we get a palindrome (109929901).

The spelling of 107613200 in words is "one hundred seven million, six hundred thirteen thousand, two hundred".