102581057 has 16 divisors (see below), whose sum is σ = 113635200. Its totient is φ = 92223360.

The previous prime is 102581053. The next prime is 102581069. The reversal of 102581057 is 750185201.

It is a cyclic number.

It is not a de Polignac number, because 102581057 - 2² = 102581053 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102581051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27044 + ... + 30602.

It is an arithmetic number, because the mean of its divisors is an integer number (7102200).

Almost surely, 2^102581057 is an apocalyptic number.

It is an amenable number.

102581057 is a deficient number, since it is larger than the sum of its proper divisors (11054143).

102581057 is a wasteful number, since it uses less digits than its factorization.

102581057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656.

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 102581057 is about 10128.2306944500. The cubic root of 102581057 is about 468.1184121561.

The spelling of 102581057 in words is "one hundred two million, five hundred eighty-one thousand, fifty-seven".