105352254989 has 2 divisors, whose sum is σ = 105352254990. Its totient is φ = 105352254988.

The previous prime is 105352254949. The next prime is 105352255069. The reversal of 105352254989 is 989452253501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101866297225 + 3485957764 = 319165^2 + 59042^2 .

It is a cyclic number.

It is not a de Polignac number, because 105352254989 - 2³² = 101057287693 is a prime.

It is a super-3 number, since 3×105352254989³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105352254989.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105352254949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52676127494 + 52676127495.

It is an arithmetic number, because the mean of its divisors is an integer number (52676127495).

Almost surely, 2^105352254989 is an apocalyptic number.

It is an amenable number.

105352254989 is a deficient number, since it is larger than the sum of its proper divisors (1).

105352254989 is an equidigital number, since it uses as much as digits as its factorization.

105352254989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888000, while the sum is 53.

The spelling of 105352254989 in words is "one hundred five billion, three hundred fifty-two million, two hundred fifty-four thousand, nine hundred eighty-nine".