107193379216 has 135 divisors (see below), whose sum is σ = 265805196363. Its totient is φ = 41724365760.

The previous prime is 107193379201. The next prime is 107193379229. The reversal of 107193379216 is 612973391701.

The square root of 107193379216 is 327404.

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

It is a super-2 number, since 2×107193379216² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 107193379216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100839901 + ... + 100840963.

Almost surely, 2^107193379216 is an apocalyptic number.

107193379216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107193379216 is the 327404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107193379216

107193379216 is an abundant number, since it is smaller than the sum of its proper divisors (158611817147).

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

107193379216 is an equidigital number, since it uses as much as digits as its factorization.

107193379216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 49.

Multiplying 107193379216 by its sum of digits (49), we get a square (5252475581584 = 2291828²).

107193379216 divided by its sum of digits (49) gives a square (2187619984 = 46772²).

The spelling of 107193379216 in words is "one hundred seven billion, one hundred ninety-three million, three hundred seventy-nine thousand, two hundred sixteen".