105255883406041 has 27 divisors (see below), whose sum is σ = 107397675864639. Its totient is φ = 103156506709200.

The previous prime is 105255883406017. The next prime is 105255883406087. The reversal of 105255883406041 is 140604388552501.

The square root of 105255883406041 is 10259429.

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

It can be written as a sum of positive squares in only one way, i.e., 98030216842441 + 7225666563600 = 9901021^2 + 2688060^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105255883406041 is a prime.

It is a super-2 number, since 2×105255883406041² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105255883406041.

It is not an unprimeable number, because it can be changed into a prime (105255883407041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166808055796 + ... + 166808056426.

Almost surely, 2^{105255883406041} is an apocalyptic number.

105255883406041 is the 10259429-th square number.

105255883406041 is the 5129715-th centered octagonal number.

It is an amenable number.

105255883406041 is a deficient number, since it is larger than the sum of its proper divisors (2141792458598).

105255883406041 is an frugal number, since it uses more digits than its factorization.

105255883406041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 105255883406041 in words is "one hundred five trillion, two hundred fifty-five billion, eight hundred eighty-three million, four hundred six thousand, forty-one".