107077731047280 has 960 divisors, whose sum is σ = 449986132377600. Its totient is φ = 23116521415680.

The previous prime is 107077731047279. The next prime is 107077731047291. The reversal of 107077731047280 is 82740137770701.

107077731047280 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 7 + 7 + 7 + 310 + 47 + 280 = 666.

It is a super-2 number, since 2×107077731047280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 855744561 + ... + 855869679.

It is an arithmetic number, because the mean of its divisors is an integer number (468735554560).

Almost surely, 2^{107077731047280} is an apocalyptic number.

107077731047280 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 107077731047280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224993066188800).

107077731047280 is an abundant number, since it is smaller than the sum of its proper divisors (342908401330320).

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

107077731047280 is a wasteful number, since it uses less digits than its factorization.

107077731047280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125504 (or 125486 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 54.

The spelling of 107077731047280 in words is "one hundred seven trillion, seventy-seven billion, seven hundred thirty-one million, forty-seven thousand, two hundred eighty".