107268194705296 has 45 divisors (see below), whose sum is σ = 208139119508113. Its totient is φ = 53554990311680.

The previous prime is 107268194705293. The next prime is 107268194705333. The reversal of 107268194705296 is 692507491862701.

The square root of 107268194705296 is 10357036.

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

It can be written as a sum of positive squares in only one way, i.e., 18817931665296 + 88450263040000 = 4337964^2 + 9404800^2 .

It is a super-3 number, since 3×107268194705296³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107268194705293) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36498193395 + ... + 36498196333.

Almost surely, 2^{107268194705296} is an apocalyptic number.

107268194705296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107268194705296 is the 10357036-th square number.

It is an amenable number.

107268194705296 is a deficient number, since it is larger than the sum of its proper divisors (100870924802817).

107268194705296 is an frugal number, since it uses more digits than its factorization.

107268194705296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 67.

The spelling of 107268194705296 in words is "one hundred seven trillion, two hundred sixty-eight billion, one hundred ninety-four million, seven hundred five thousand, two hundred ninety-six".