107125315200 has 576 divisors, whose sum is σ = 408251638080. Its totient is φ = 26682163200.

The previous prime is 107125315181. The next prime is 107125315237. The reversal of 107125315200 is 2513521701.

107125315200 is a `hidden beast` number, since 10 + 7 + 125 + 3 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×107125315200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28481320 + ... + 28485080.

It is an arithmetic number, because the mean of its divisors is an integer number (708770205).

Almost surely, 2^107125315200 is an apocalyptic number.

107125315200 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 107125315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204125819040).

107125315200 is an abundant number, since it is smaller than the sum of its proper divisors (301126322880).

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

107125315200 is a wasteful number, since it uses less digits than its factorization.

107125315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 107125315200 its reverse (2513521701), we get a palindrome (109638836901).

The spelling of 107125315200 in words is "one hundred seven billion, one hundred twenty-five million, three hundred fifteen thousand, two hundred".