105253457 has 2 divisors, whose sum is σ = 105253458. Its totient is φ = 105253456.

The previous prime is 105253433. The next prime is 105253459. The reversal of 105253457 is 754352501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99221521 + 6031936 = 9961^2 + 2456^2 .

It is a cyclic number.

It is not a de Polignac number, because 105253457 - 2¹⁴ = 105237073 is a prime.

It is a super-2 number, since 2×105253457² = 22156580420901698, which contains 22 as substring.

Together with 105253459, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_6046439 and since 105253457 and 6046439 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105253459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52626728 + 52626729.

It is an arithmetic number, because the mean of its divisors is an integer number (52626729).

Almost surely, 2^105253457 is an apocalyptic number.

It is an amenable number.

105253457 is a deficient number, since it is larger than the sum of its proper divisors (1).

105253457 is an equidigital number, since it uses as much as digits as its factorization.

105253457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 105253457 is about 10259.3107468290. The cubic root of 105253457 is about 472.1486906458.

The spelling of 105253457 in words is "one hundred five million, two hundred fifty-three thousand, four hundred fifty-seven".