107293826448 has 160 divisors (see below), whose sum is σ = 323679283200. Its totient is φ = 33963076224.

The previous prime is 107293826411. The next prime is 107293826449. The reversal of 107293826448 is 844628392701.

107293826448 is a `hidden beast` number, since 107 + 2 + 93 + 8 + 2 + 6 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 107293826394 and 107293826403.

It is not an unprimeable number, because it can be changed into a prime (107293826449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342261 + ... + 1419947.

It is an arithmetic number, because the mean of its divisors is an integer number (2022995520).

Almost surely, 2^107293826448 is an apocalyptic number.

107293826448 is a gapful number since it is divisible by the number (18) 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 107293826448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161839641600).

107293826448 is an abundant number, since it is smaller than the sum of its proper divisors (216385456752).

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

107293826448 is a wasteful number, since it uses less digits than its factorization.

107293826448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77866 (or 77854 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 107293826448 in words is "one hundred seven billion, two hundred ninety-three million, eight hundred twenty-six thousand, four hundred forty-eight".