107117936640 has 864 divisors, whose sum is σ = 439695599616. Its totient is φ = 23781703680.

The previous prime is 107117936623. The next prime is 107117936687. The reversal of 107117936640 is 46639711701.

107117936640 is a `hidden beast` number, since 10 + 71 + 179 + 366 + 40 = 666.

It is a super-2 number, since 2×107117936640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843448257 + ... + 843448383.

It is an arithmetic number, because the mean of its divisors is an integer number (508906944).

Almost surely, 2^107117936640 is an apocalyptic number.

107117936640 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 107117936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219847799808).

107117936640 is an abundant number, since it is smaller than the sum of its proper divisors (332577662976).

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

107117936640 is a wasteful number, since it uses less digits than its factorization.

107117936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 107117936640 in words is "one hundred seven billion, one hundred seventeen million, nine hundred thirty-six thousand, six hundred forty".