105181820376784 has 20 divisors (see below), whose sum is σ = 203794097029380. Its totient is φ = 52589795336960.

The previous prime is 105181820376781. The next prime is 105181820376799. The reversal of 105181820376784 is 487673028181501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101971058117184 + 3210762259600 = 10098072^2 + 1791860^2 .

It is a super-2 number, since 2×105181820376784² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105181820376781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68899597 + ... + 70409644.

It is an arithmetic number, because the mean of its divisors is an integer number (10189704851469).

Almost surely, 2^{105181820376784} is an apocalyptic number.

It is an amenable number.

105181820376784 is a deficient number, since it is larger than the sum of its proper divisors (98612276652596).

105181820376784 is a wasteful number, since it uses less digits than its factorization.

105181820376784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139356438 (or 139356432 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 61.

The spelling of 105181820376784 in words is "one hundred five trillion, one hundred eighty-one billion, eight hundred twenty million, three hundred seventy-six thousand, seven hundred eighty-four".