107693834574096 has 135 divisors (see below), whose sum is σ = 306436646495343. Its totient is φ = 35306963343360.

The previous prime is 107693834574059. The next prime is 107693834574107. The reversal of 107693834574096 is 690475438396701.

The square root of 107693834574096 is 10377564.

It is a perfect power (a square), and thus also a powerful number.

107693834574096 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 9 + 3 + 83 + 457 + 4 + 0 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1396414890000 + 106297419684096 = 1181700^2 + 10310064^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 26 ways as a sum of consecutive naturals, for example, 7596369760 + ... + 7596383936.

Almost surely, 2^{107693834574096} is an apocalyptic number.

107693834574096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107693834574096 is the 10377564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107693834574096

107693834574096 is an abundant number, since it is smaller than the sum of its proper divisors (198742811921247).

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

107693834574096 is an frugal number, since it uses more digits than its factorization.

107693834574096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28490 (or 14243 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 107693834574096 in words is "one hundred seven trillion, six hundred ninety-three billion, eight hundred thirty-four million, five hundred seventy-four thousand, ninety-six".