105768184096 has 24 divisors (see below), whose sum is σ = 220480002540. Its totient is φ = 49773262848.

The previous prime is 105768184091. The next prime is 105768184097. The reversal of 105768184096 is 690481867501.

It can be written as a sum of positive squares in 2 ways, for example, as 105471655696 + 296528400 = 324764^2 + 17220^2 .

It is a super-2 number, since 2×105768184096² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105768184091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97212861 + ... + 97213948.

Almost surely, 2^105768184096 is an apocalyptic number.

105768184096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105768184096 is an abundant number, since it is smaller than the sum of its proper divisors (114711818444).

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

105768184096 is a wasteful number, since it uses less digits than its factorization.

105768184096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194426836 (or 194426828 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 105768184096 in words is "one hundred five billion, seven hundred sixty-eight million, one hundred eighty-four thousand, ninety-six".