107505220356160 has 448 divisors, whose sum is σ = 283759431081984. Its totient is φ = 38470621593600.

The previous prime is 107505220356119. The next prime is 107505220356161. The reversal of 107505220356160 is 61653022505701.

It is not an unprimeable number, because it can be changed into a prime (107505220356161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29269048084 + ... + 29269051756.

Almost surely, 2^{107505220356160} is an apocalyptic number.

107505220356160 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 107505220356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141879715540992).

107505220356160 is an abundant number, since it is smaller than the sum of its proper divisors (176254210725824).

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

107505220356160 is a wasteful number, since it uses less digits than its factorization.

107505220356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 107505220356160 in words is "one hundred seven trillion, five hundred five billion, two hundred twenty million, three hundred fifty-six thousand, one hundred sixty".