105212573 has 2 divisors, whose sum is σ = 105212574. Its totient is φ = 105212572.

The previous prime is 105212567. The next prime is 105212587. The reversal of 105212573 is 375212501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71537764 + 33674809 = 8458^2 + 5803^2 .

It is a cyclic number.

It is not a de Polignac number, because 105212573 - 2²⁴ = 88435357 is a prime.

It is a super-2 number, since 2×105212573² = 22139371034560658, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_6044264 and since 105212573 and 6044264 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105212533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52606286 + 52606287.

It is an arithmetic number, because the mean of its divisors is an integer number (52606287).

Almost surely, 2^105212573 is an apocalyptic number.

It is an amenable number.

105212573 is a deficient number, since it is larger than the sum of its proper divisors (1).

105212573 is an equidigital number, since it uses as much as digits as its factorization.

105212573 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 105212573 is about 10257.3180217833. The cubic root of 105212573 is about 472.0875498924.

The spelling of 105212573 in words is "one hundred five million, two hundred twelve thousand, five hundred seventy-three".