107635116385160 has 256 divisors, whose sum is σ = 312654342389760. Its totient is φ = 32413064555520.

The previous prime is 107635116385129. The next prime is 107635116385177. The reversal of 107635116385160 is 61583611536701.

It is a happy 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, 12624929 + ... + 19356111.

It is an arithmetic number, because the mean of its divisors is an integer number (1221306024960).

Almost surely, 2^{107635116385160} is an apocalyptic number.

107635116385160 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 107635116385160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156327171194880).

107635116385160 is an abundant number, since it is smaller than the sum of its proper divisors (205019226004600).

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

107635116385160 is a wasteful number, since it uses less digits than its factorization.

107635116385160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731428 (or 6731424 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 107635116385160 in words is "one hundred seven trillion, six hundred thirty-five billion, one hundred sixteen million, three hundred eighty-five thousand, one hundred sixty".