107705220480 has 1536 divisors, whose sum is σ = 471555302400. Its totient is φ = 23131422720.

The previous prime is 107705220473. The next prime is 107705220551. The reversal of 107705220480 is 84022507701.

107705220480 is a `hidden beast` number, since 107 + 7 + 0 + 52 + 20 + 480 = 666.

It is a super-2 number, since 2×107705220480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 644941357 + ... + 644941523.

It is an arithmetic number, because the mean of its divisors is an integer number (307002150).

Almost surely, 2^107705220480 is an apocalyptic number.

107705220480 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 107705220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235777651200).

107705220480 is an abundant number, since it is smaller than the sum of its proper divisors (363850081920).

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

107705220480 is a wasteful number, since it uses less digits than its factorization.

107705220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 107705220480 in words is "one hundred seven billion, seven hundred five million, two hundred twenty thousand, four hundred eighty".