105816253 has 2 divisors, whose sum is σ = 105816254. Its totient is φ = 105816252.

The previous prime is 105816241. The next prime is 105816257. The reversal of 105816253 is 352618501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71453209 + 34363044 = 8453^2 + 5862^2 .

It is an emirp because it is prime and its reverse (352618501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105816253 - 2¹³ = 105808061 is a prime.

It is a super-2 number, since 2×105816253² = 22394158797920018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105816257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52908126 + 52908127.

It is an arithmetic number, because the mean of its divisors is an integer number (52908127).

Almost surely, 2^105816253 is an apocalyptic number.

It is an amenable number.

105816253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105816253 is an equidigital number, since it uses as much as digits as its factorization.

105816253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 105816253 is about 10286.7027273077. The cubic root of 105816253 is about 472.9887301449.

The spelling of 105816253 in words is "one hundred five million, eight hundred sixteen thousand, two hundred fifty-three".