107111600640 has 720 divisors, whose sum is σ = 423145666944. Its totient is φ = 25948200960.

The previous prime is 107111600639. The next prime is 107111600677. The reversal of 107111600640 is 46006111701.

107111600640 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 1 + 16 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×107111600640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75270969 + ... + 75272391.

Almost surely, 2^107111600640 is an apocalyptic number.

107111600640 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 107111600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211572833472).

107111600640 is an abundant number, since it is smaller than the sum of its proper divisors (316034066304).

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

107111600640 is an equidigital number, since it uses as much as digits as its factorization.

107111600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 107111600640 in words is "one hundred seven billion, one hundred eleven million, six hundred thousand, six hundred forty".