107083517200 has 120 divisors (see below), whose sum is σ = 280822651200. Its totient is φ = 38916364800.

The previous prime is 107083517197. The next prime is 107083517207. The reversal of 107083517200 is 2715380701.

It is a super-2 number, since 2×107083517200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107083517207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8569357 + ... + 8581843.

It is an arithmetic number, because the mean of its divisors is an integer number (2340188760).

Almost surely, 2^107083517200 is an apocalyptic number.

107083517200 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 107083517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140411325600).

107083517200 is an abundant number, since it is smaller than the sum of its proper divisors (173739134000).

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

107083517200 is a wasteful number, since it uses less digits than its factorization.

107083517200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14465 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

Adding to 107083517200 its reverse (2715380701), we get a palindrome (109798897901).

The spelling of 107083517200 in words is "one hundred seven billion, eighty-three million, five hundred seventeen thousand, two hundred".