107325800 has 48 divisors (see below), whose sum is σ = 251418060. Its totient is φ = 42606080.

The previous prime is 107325793. The next prime is 107325809. The reversal of 107325800 is 8523701.

It can be written as a sum of positive squares in 6 ways, for example, as 61058596 + 46267204 = 7814^2 + 6802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107325800.

It is not an unprimeable number, because it can be changed into a prime (107325809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25442 + ... + 29358.

Almost surely, 2^107325800 is an apocalyptic number.

107325800 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 107325800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125709030).

107325800 is an abundant number, since it is smaller than the sum of its proper divisors (144092260).

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

107325800 is a wasteful number, since it uses less digits than its factorization.

107325800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 107325800 is about 10359.8166006933. The cubic root of 107325800 is about 475.2272965724.

The spelling of 107325800 in words is "one hundred seven million, three hundred twenty-five thousand, eight hundred".