107575336960 has 896 divisors, whose sum is σ = 352300032000. Its totient is φ = 31213486080.

The previous prime is 107575336937. The next prime is 107575336997. The reversal of 107575336960 is 69633575701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 107575336898 and 107575336907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3470172145 + ... + 3470172175.

It is an arithmetic number, because the mean of its divisors is an integer number (393192000).

Almost surely, 2^107575336960 is an apocalyptic number.

107575336960 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 107575336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176150016000).

107575336960 is an abundant number, since it is smaller than the sum of its proper divisors (244724695040).

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

107575336960 is an equidigital number, since it uses as much as digits as its factorization.

107575336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 52.

The spelling of 107575336960 in words is "one hundred seven billion, five hundred seventy-five million, three hundred thirty-six thousand, nine hundred sixty".