107793975744 has 1134 divisors, whose sum is σ = 417175578144. Its totient is φ = 27512110080.

The previous prime is 107793975743. The next prime is 107793975749. The reversal of 107793975744 is 447579397701.

107793975744 is a `hidden beast` number, since 107 + 79 + 397 + 5 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1134).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107793975743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3477225009 + ... + 3477225039.

Almost surely, 2^107793975744 is an apocalyptic number.

107793975744 is a gapful number since it is divisible by the number (14) 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 107793975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208587789072).

107793975744 is an abundant number, since it is smaller than the sum of its proper divisors (309381602400).

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

107793975744 is an frugal number, since it uses more digits than its factorization.

107793975744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 107793975744 in words is "one hundred seven billion, seven hundred ninety-three million, nine hundred seventy-five thousand, seven hundred forty-four".