107691321600 has 648 divisors, whose sum is σ = 407411257344. Its totient is φ = 27095040000.

The previous prime is 107691321599. The next prime is 107691321607. The reversal of 107691321600 is 6123196701.

107691321600 is a `hidden beast` number, since 10 + 7 + 6 + 9 + 1 + 32 + 1 + 600 = 666.

107691321600 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107691321607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73208865 + ... + 73210335.

Almost surely, 2^107691321600 is an apocalyptic number.

107691321600 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 107691321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203705628672).

107691321600 is an abundant number, since it is smaller than the sum of its proper divisors (299719935744).

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

107691321600 is a wasteful number, since it uses less digits than its factorization.

107691321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 107691321600 in words is "one hundred seven billion, six hundred ninety-one million, three hundred twenty-one thousand, six hundred".