105251309 has 2 divisors, whose sum is σ = 105251310. Its totient is φ = 105251308.

The previous prime is 105251303. The next prime is 105251383. The reversal of 105251309 is 903152501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75516100 + 29735209 = 8690^2 + 5453^2 .

It is an emirp because it is prime and its reverse (903152501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105251309 - 2²⁰ = 104202733 is a prime.

It is a super-2 number, since 2×105251309² = 22155676092426962, which contains 22 as substring.

It is equal to p_6046325 and since 105251309 and 6046325 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 (105251303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52625654 + 52625655.

It is an arithmetic number, because the mean of its divisors is an integer number (52625655).

Almost surely, 2^105251309 is an apocalyptic number.

It is an amenable number.

105251309 is a deficient number, since it is larger than the sum of its proper divisors (1).

105251309 is an equidigital number, since it uses as much as digits as its factorization.

105251309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 105251309 is about 10259.2060608996. The cubic root of 105251309 is about 472.1454787726.

The spelling of 105251309 in words is "one hundred five million, two hundred fifty-one thousand, three hundred nine".