102832144 has 20 divisors (see below), whose sum is σ = 206108460. Its totient is φ = 49642880.

The previous prime is 102832129. The next prime is 102832151. The reversal of 102832144 is 441238201.

It can be written as a sum of positive squares in 2 ways, for example, as 55056400 + 47775744 = 7420^2 + 6912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110347 + ... + 111274.

It is an arithmetic number, because the mean of its divisors is an integer number (10305423).

Almost surely, 2^102832144 is an apocalyptic number.

It is an amenable number.

102832144 is an abundant number, since it is smaller than the sum of its proper divisors (103276316).

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

102832144 is a wasteful number, since it uses less digits than its factorization.

102832144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221658 (or 221652 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 102832144 is about 10140.6185215696. The cubic root of 102832144 is about 468.5000377766.

The spelling of 102832144 in words is "one hundred two million, eight hundred thirty-two thousand, one hundred forty-four".