105771057 has 24 divisors (see below), whose sum is σ = 165134016. Its totient is φ = 60042528.

The previous prime is 105771053. The next prime is 105771067. The reversal of 105771057 is 750177501.

It is not a de Polignac number, because 105771057 - 2² = 105771053 is a prime.

It is a super-2 number, since 2×105771057² = 22375032997794498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105771053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20788 + ... + 25370.

It is an arithmetic number, because the mean of its divisors is an integer number (6880584).

Almost surely, 2^105771057 is an apocalyptic number.

It is an amenable number.

105771057 is a deficient number, since it is larger than the sum of its proper divisors (59362959).

105771057 is a wasteful number, since it uses less digits than its factorization.

105771057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 8575, while the sum is 33.

The square root of 105771057 is about 10284.5056760157. The cubic root of 105771057 is about 472.9213799276.

The spelling of 105771057 in words is "one hundred five million, seven hundred seventy-one thousand, fifty-seven".