102642132 has 24 divisors (see below), whose sum is σ = 244018656. Its totient is φ = 33568288.

The previous prime is 102642121. The next prime is 102642143. The reversal of 102642132 is 231246201.

It is an interprime number because it is at equal distance from previous prime (102642121) and next prime (102642143).

It is a junction number, because it is equal to n+sod(n) for n = 102642099 and 102642108.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 80058 + ... + 81329.

It is an arithmetic number, because the mean of its divisors is an integer number (10167444).

Almost surely, 2^102642132 is an apocalyptic number.

102642132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102642132 is an abundant number, since it is smaller than the sum of its proper divisors (141376524).

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

102642132 is a wasteful number, since it uses less digits than its factorization.

102642132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161447 (or 161445 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 102642132 is about 10131.2453331266. The cubic root of 102642132 is about 468.2112969462.

Adding to 102642132 its reverse (231246201), we get a palindrome (333888333).

The spelling of 102642132 in words is "one hundred two million, six hundred forty-two thousand, one hundred thirty-two".