102132057 has 16 divisors (see below), whose sum is σ = 137833920. Its totient is φ = 67264512.

The previous prime is 102132031. The next prime is 102132061. The reversal of 102132057 is 750231201.

It is not a de Polignac number, because 102132057 - 2¹⁰ = 102131033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102132097) 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 15 ways as a sum of consecutive naturals, for example, 106693 + ... + 107645.

It is an arithmetic number, because the mean of its divisors is an integer number (8614620).

Almost surely, 2^102132057 is an apocalyptic number.

It is an amenable number.

102132057 is a deficient number, since it is larger than the sum of its proper divisors (35701863).

102132057 is a wasteful number, since it uses less digits than its factorization.

102132057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 102132057 is about 10106.0406193524. The cubic root of 102132057 is about 467.4344243481.

Adding to 102132057 its reverse (750231201), we get a palindrome (852363258).

The spelling of 102132057 in words is "one hundred two million, one hundred thirty-two thousand, fifty-seven".