102132560 has 20 divisors (see below), whose sum is σ = 237458388. Its totient is φ = 40852992.

The previous prime is 102132557. The next prime is 102132601. The reversal of 102132560 is 65231201.

It can be written as a sum of positive squares in 2 ways, for example, as 42719296 + 59413264 = 6536^2 + 7708^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638249 + ... + 638408.

Almost surely, 2^102132560 is an apocalyptic number.

102132560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132560 is an abundant number, since it is smaller than the sum of its proper divisors (135325828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102132560 is a wasteful number, since it uses less digits than its factorization.

102132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276670 (or 1276664 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 102132560 is about 10106.0655054279. The cubic root of 102132560 is about 467.4351917178.

Adding to 102132560 its reverse (65231201), we get a palindrome (167363761).

The spelling of 102132560 in words is "one hundred two million, one hundred thirty-two thousand, five hundred sixty".