105732500282561 has 2 divisors, whose sum is σ = 105732500282562. Its totient is φ = 105732500282560.

The previous prime is 105732500282551. The next prime is 105732500282579. The reversal of 105732500282561 is 165282005237501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105732500282161 + 400 = 10282631^2 + 20^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105732500282561 is a prime.

It is a super-2 number, since 2×105732500282561² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105732500282531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52866250141280 + 52866250141281.

It is an arithmetic number, because the mean of its divisors is an integer number (52866250141281).

Almost surely, 2^{105732500282561} is an apocalyptic number.

It is an amenable number.

105732500282561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105732500282561 is an equidigital number, since it uses as much as digits as its factorization.

105732500282561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008000, while the sum is 47.

The spelling of 105732500282561 in words is "one hundred five trillion, seven hundred thirty-two billion, five hundred million, two hundred eighty-two thousand, five hundred sixty-one".