107945125200 has 480 divisors, whose sum is σ = 420465945600. Its totient is φ = 26085312000.

The previous prime is 107945125147. The next prime is 107945125219. The reversal of 107945125200 is 2521549701.

107945125200 is a `hidden beast` number, since 1 + 0 + 7 + 94 + 512 + 52 + 0 + 0 = 666.

107945125200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×107945125200⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42647935 + ... + 42650465.

It is an arithmetic number, because the mean of its divisors is an integer number (875970720).

Almost surely, 2^107945125200 is an apocalyptic number.

107945125200 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 107945125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210232972800).

107945125200 is an abundant number, since it is smaller than the sum of its proper divisors (312520820400).

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

107945125200 is a wasteful number, since it uses less digits than its factorization.

107945125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 107945125200 in words is "one hundred seven billion, nine hundred forty-five million, one hundred twenty-five thousand, two hundred".