105671057 has 2 divisors, whose sum is σ = 105671058. Its totient is φ = 105671056.

The previous prime is 105671053. The next prime is 105671089. The reversal of 105671057 is 750176501.

It is an a-pointer prime, because the next prime (105671089) can be obtained adding 105671057 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103713856 + 1957201 = 10184^2 + 1399^2 .

It is a cyclic number.

It is not a de Polignac number, because 105671057 - 2² = 105671053 is a prime.

It is a super-2 number, since 2×105671057² = 22332744574994498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105671051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52835528 + 52835529.

It is an arithmetic number, because the mean of its divisors is an integer number (52835529).

Almost surely, 2^105671057 is an apocalyptic number.

It is an amenable number.

105671057 is a deficient number, since it is larger than the sum of its proper divisors (1).

105671057 is an equidigital number, since it uses as much as digits as its factorization.

105671057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7350, while the sum is 32.

The square root of 105671057 is about 10279.6428439903. The cubic root of 105671057 is about 472.7722936177.

The spelling of 105671057 in words is "one hundred five million, six hundred seventy-one thousand, fifty-seven".