105025693 has 2 divisors, whose sum is σ = 105025694. Its totient is φ = 105025692.

The previous prime is 105025667. The next prime is 105025727. The reversal of 105025693 is 396520501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103673124 + 1352569 = 10182^2 + 1163^2 .

It is a cyclic number.

It is not a de Polignac number, because 105025693 - 2¹³ = 105017501 is a prime.

It is a super-2 number, since 2×105025693² = 22060792380260498, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105025093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52512846 + 52512847.

It is an arithmetic number, because the mean of its divisors is an integer number (52512847).

Almost surely, 2^105025693 is an apocalyptic number.

It is an amenable number.

105025693 is a deficient number, since it is larger than the sum of its proper divisors (1).

105025693 is an equidigital number, since it uses as much as digits as its factorization.

105025693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 105025693 is about 10248.2043793047. The cubic root of 105025693 is about 471.8078748019.

The spelling of 105025693 in words is "one hundred five million, twenty-five thousand, six hundred ninety-three".