107325952000 has 104 divisors (see below), whose sum is σ = 267854153112. Its totient is φ = 42930176000.

The previous prime is 107325951991. The next prime is 107325952003. The reversal of 107325952000 is 259523701.

It can be written as a sum of positive squares in 4 ways, for example, as 1248067584 + 106077884416 = 35328^2 + 325696^2 .

It is not an unprimeable number, because it can be changed into a prime (107325952003) 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 7 ways as a sum of consecutive naturals, for example, 407190 + ... + 616810.

It is an arithmetic number, because the mean of its divisors is an integer number (2575520703).

Almost surely, 2^107325952000 is an apocalyptic number.

107325952000 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 107325952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133927076556).

107325952000 is an abundant number, since it is smaller than the sum of its proper divisors (160528201112).

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

107325952000 is an frugal number, since it uses more digits than its factorization.

107325952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209660 (or 209628 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 107325952000 in words is "one hundred seven billion, three hundred twenty-five million, nine hundred fifty-two thousand".