105420593 has 2 divisors, whose sum is σ = 105420594. Its totient is φ = 105420592.

The previous prime is 105420583. The next prime is 105420619. The reversal of 105420593 is 395024501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75203584 + 30217009 = 8672^2 + 5497^2 .

It is a cyclic number.

It is not a de Polignac number, because 105420593 - 2⁶ = 105420529 is a prime.

It is a super-2 number, since 2×105420593² = 22227002856943298, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105420503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52710296 + 52710297.

It is an arithmetic number, because the mean of its divisors is an integer number (52710297).

Almost surely, 2^105420593 is an apocalyptic number.

It is an amenable number.

105420593 is a deficient number, since it is larger than the sum of its proper divisors (1).

105420593 is an equidigital number, since it uses as much as digits as its factorization.

105420593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105420593 is about 10267.4530921743. The cubic root of 105420593 is about 472.3984728159.

The spelling of 105420593 in words is "one hundred five million, four hundred twenty thousand, five hundred ninety-three".