107037600768 has 352 divisors, whose sum is σ = 369704576000. Its totient is φ = 30579462144.

The previous prime is 107037600737. The next prime is 107037600811. The reversal of 107037600768 is 867006730701.

It is a happy number.

107037600768 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 37 + 600 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×107037600768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9477621 + ... + 9488907.

Almost surely, 2^107037600768 is an apocalyptic number.

107037600768 is a gapful number since it is divisible by the number (18) 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 107037600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184852288000).

107037600768 is an abundant number, since it is smaller than the sum of its proper divisors (262666975232).

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

107037600768 is an equidigital number, since it uses as much as digits as its factorization.

107037600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11337 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 107037600768 in words is "one hundred seven billion, thirty-seven million, six hundred thousand, seven hundred sixty-eight".