107364096000 has 1152 divisors, whose sum is σ = 463170052800. Its totient is φ = 24462950400.

The previous prime is 107364095999. The next prime is 107364096011. The reversal of 107364096000 is 690463701.

107364096000 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 6 + 40 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338687842 + ... + 338688158.

Almost surely, 2^107364096000 is an apocalyptic number.

107364096000 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 107364096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231585026400).

107364096000 is an abundant number, since it is smaller than the sum of its proper divisors (355805956800).

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

107364096000 is an equidigital number, since it uses as much as digits as its factorization.

107364096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 107364096000 in words is "one hundred seven billion, three hundred sixty-four million, ninety-six thousand".