107063200 has 72 divisors (see below), whose sum is σ = 268506252. Its totient is φ = 41656320.

The previous prime is 107063197. The next prime is 107063207. The reversal of 107063200 is 2360701.

It can be written as a sum of positive squares in 6 ways, for example, as 25847056 + 81216144 = 5084^2 + 9012^2 .

It is a super-2 number, since 2×107063200² = 22925057588480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107063207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27792 + ... + 31408.

Almost surely, 2^107063200 is an apocalyptic number.

107063200 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 107063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134253126).

107063200 is an abundant number, since it is smaller than the sum of its proper divisors (161443052).

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

107063200 is a wasteful number, since it uses less digits than its factorization.

107063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 107063200 is about 10347.1348691316. The cubic root of 107063200 is about 474.8393916842.

The spelling of 107063200 in words is "one hundred seven million, sixty-three thousand, two hundred".