107125200 has 480 divisors, whose sum is σ = 473580800. Its totient is φ = 22394880.

The previous prime is 107125157. The next prime is 107125231. The reversal of 107125200 is 2521701.

It is a super-2 number, since 2×107125200² = 22951616950080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 982746 + ... + 982854.

Almost surely, 2^107125200 is an apocalyptic number.

107125200 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 107125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236790400).

107125200 is an abundant number, since it is smaller than the sum of its proper divisors (366455600).

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

107125200 is a wasteful number, since it uses less digits than its factorization.

107125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107125200 is about 10350.1304339607. The cubic root of 107125200 is about 474.9310333850.

Adding to 107125200 its reverse (2521701), we get a palindrome (109646901).

The spelling of 107125200 in words is "one hundred seven million, one hundred twenty-five thousand, two hundred".