105180253 has 2 divisors, whose sum is σ = 105180254. Its totient is φ = 105180252.

The previous prime is 105180247. The next prime is 105180263. The reversal of 105180253 is 352081501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104816644 + 363609 = 10238^2 + 603^2 .

It is a cyclic number.

It is not a de Polignac number, because 105180253 - 2⁹ = 105179741 is a prime.

It is a super-2 number, since 2×105180253² = 22125771242288018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105180203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52590126 + 52590127.

It is an arithmetic number, because the mean of its divisors is an integer number (52590127).

Almost surely, 2^105180253 is an apocalyptic number.

It is an amenable number.

105180253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105180253 is an equidigital number, since it uses as much as digits as its factorization.

105180253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 105180253 is about 10255.7424402137. The cubic root of 105180253 is about 472.0392051247.

The spelling of 105180253 in words is "one hundred five million, one hundred eighty thousand, two hundred fifty-three".