102132524 has 48 divisors (see below), whose sum is σ = 204153600. Its totient is φ = 44318016.

The previous prime is 102132493. The next prime is 102132529. The reversal of 102132524 is 425231201.

It is a super-2 number, since 2×102132524² = 20862104917221152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102132496 and 102132505.

It is not an unprimeable number, because it can be changed into a prime (102132529) 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, 164687 + ... + 165305.

It is an arithmetic number, because the mean of its divisors is an integer number (4253200).

Almost surely, 2^102132524 is an apocalyptic number.

It is an amenable number.

102132524 is a deficient number, since it is larger than the sum of its proper divisors (102021076).

102132524 is a wasteful number, since it uses less digits than its factorization.

102132524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102132524 is about 10106.0637243192. The cubic root of 102132524 is about 467.4351367968.

Adding to 102132524 its reverse (425231201), we get a palindrome (527363725).

The spelling of 102132524 in words is "one hundred two million, one hundred thirty-two thousand, five hundred twenty-four".