107087318400 has 192 divisors, whose sum is σ = 353261296080. Its totient is φ = 28512706560.

The previous prime is 107087318399. The next prime is 107087318417. The reversal of 107087318400 is 4813780701.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×107087318400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6490962 + ... + 6507438.

Almost surely, 2^107087318400 is an apocalyptic number.

107087318400 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 107087318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176630648040).

107087318400 is an abundant number, since it is smaller than the sum of its proper divisors (246173977680).

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

107087318400 is a wasteful number, since it uses less digits than its factorization.

107087318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17181 (or 17164 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 107087318400 in words is "one hundred seven billion, eighty-seven million, three hundred eighteen thousand, four hundred".