107794801296 has 600 divisors, whose sum is σ = 401520993720. Its totient is φ = 27653197824.

The previous prime is 107794801291. The next prime is 107794801297. The reversal of 107794801296 is 692108497701.

107794801296 is a `hidden beast` number, since 1 + 0 + 7 + 79 + 480 + 1 + 2 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3749847696 + 104044953600 = 61236^2 + 322560^2 .

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

It is not an unprimeable number, because it can be changed into a prime (107794801291) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30543660 + ... + 30547188.

Almost surely, 2^107794801296 is an apocalyptic number.

107794801296 is a gapful number since it is divisible by the number (16) 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 107794801296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200760496860).

107794801296 is an abundant number, since it is smaller than the sum of its proper divisors (293726192424).

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

107794801296 is a wasteful number, since it uses less digits than its factorization.

107794801296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 107794801296 in words is "one hundred seven billion, seven hundred ninety-four million, eight hundred one thousand, two hundred ninety-six".