107318107200 has 168 divisors, whose sum is σ = 352286791488. Its totient is φ = 28602398720.

The previous prime is 107318107199. The next prime is 107318107231. The reversal of 107318107200 is 2701813701.

It is a super-2 number, since 2×107318107200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10617349 + ... + 10627451.

Almost surely, 2^107318107200 is an apocalyptic number.

107318107200 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 107318107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176143395744).

107318107200 is an abundant number, since it is smaller than the sum of its proper divisors (244968684288).

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

107318107200 is a wasteful number, since it uses less digits than its factorization.

107318107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12341 (or 12326 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The spelling of 107318107200 in words is "one hundred seven billion, three hundred eighteen million, one hundred seven thousand, two hundred".