107800974720 has 384 divisors, whose sum is σ = 381414458880. Its totient is φ = 28043366400.

The previous prime is 107800974667. The next prime is 107800974727. The reversal of 107800974720 is 27479008701.

It is a happy number.

107800974720 is a `hidden beast` number, since 10 + 7 + 80 + 0 + 97 + 472 + 0 = 666.

107800974720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107800974727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132923115 + ... + 132923925.

It is an arithmetic number, because the mean of its divisors is an integer number (993266820).

Almost surely, 2^107800974720 is an apocalyptic number.

107800974720 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 107800974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190707229440).

107800974720 is an abundant number, since it is smaller than the sum of its proper divisors (273613484160).

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

107800974720 is a wasteful number, since it uses less digits than its factorization.

107800974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 107800974720 in words is "one hundred seven billion, eight hundred million, nine hundred seventy-four thousand, seven hundred twenty".