107697408000 has 1536 divisors, whose sum is σ = 467064299520. Its totient is φ = 21410611200.

The previous prime is 107697407981. The next prime is 107697408073. The reversal of 107697408000 is 804796701.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1607423967 + ... + 1607424033.

It is an arithmetic number, because the mean of its divisors is an integer number (304078320).

Almost surely, 2^107697408000 is an apocalyptic number.

107697408000 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 107697408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233532149760).

107697408000 is an abundant number, since it is smaller than the sum of its proper divisors (359366891520).

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

107697408000 is a wasteful number, since it uses less digits than its factorization.

107697408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 107697408000 in words is "one hundred seven billion, six hundred ninety-seven million, four hundred eight thousand".