107105066880 has 256 divisors, whose sum is σ = 391070937600. Its totient is φ = 24424538112.

The previous prime is 107105066857. The next prime is 107105066921. The reversal of 107105066880 is 88660501701.

It is a super-2 number, since 2×107105066880² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 5944926 + ... + 5962914.

It is an arithmetic number, because the mean of its divisors is an integer number (1527620850).

Almost surely, 2^107105066880 is an apocalyptic number.

107105066880 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 107105066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195535468800).

107105066880 is an abundant number, since it is smaller than the sum of its proper divisors (283965870720).

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

107105066880 is a wasteful number, since it uses less digits than its factorization.

107105066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18461 (or 18449 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 107105066880 in words is "one hundred seven billion, one hundred five million, sixty-six thousand, eight hundred eighty".