107909214340096 has 99 divisors (see below), whose sum is σ = 233592123125613. Its totient is φ = 49802258288640.

The previous prime is 107909214340009. The next prime is 107909214340183. The reversal of 107909214340096 is 690043412909701.

The square root of 107909214340096 is 10387936.

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

It is an interprime number because it is at equal distance from previous prime (107909214340009) and next prime (107909214340183).

It can be written as a sum of positive squares in only one way, i.e., 15962901529600 + 91946312810496 = 3995360^2 + 9588864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4321368891 + ... + 4321393861.

Almost surely, 2^{107909214340096} is an apocalyptic number.

107909214340096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107909214340096 is the 10387936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107909214340096

107909214340096 is an abundant number, since it is smaller than the sum of its proper divisors (125682908785517).

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

107909214340096 is an frugal number, since it uses more digits than its factorization.

107909214340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49988 (or 24986 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 107909214340096 in words is "one hundred seven trillion, nine hundred nine billion, two hundred fourteen million, three hundred forty thousand, ninety-six".