107394253729056 has 192 divisors, whose sum is σ = 362884694457600. Its totient is φ = 30263742609408.

The previous prime is 107394253729013. The next prime is 107394253729117. The reversal of 107394253729056 is 650927352493701.

107394253729056 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 9 + 4 + 2 + 537 + 2 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×107394253729056² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 107394253728984 and 107394253729002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121181691 + ... + 122064698.

It is an arithmetic number, because the mean of its divisors is an integer number (1890024450300).

Almost surely, 2^{107394253729056} is an apocalyptic number.

107394253729056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107394253729056 is an abundant number, since it is smaller than the sum of its proper divisors (255490440728544).

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

107394253729056 is a wasteful number, since it uses less digits than its factorization.

107394253729056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243246488 (or 243246474 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 107394253729056 in words is "one hundred seven trillion, three hundred ninety-four billion, two hundred fifty-three million, seven hundred twenty-nine thousand, fifty-six".