102288032 has 48 divisors (see below), whose sum is σ = 251076672. Its totient is φ = 39851520.

The previous prime is 102288007. The next prime is 102288049. The reversal of 102288032 is 230882201.

It is a junction number, because it is equal to n+sod(n) for n = 102287992 and 102288010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18293 + ... + 23220.

It is an arithmetic number, because the mean of its divisors is an integer number (5230764).

Almost surely, 2^102288032 is an apocalyptic number.

It is an amenable number.

102288032 is an abundant number, since it is smaller than the sum of its proper divisors (148788640).

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

102288032 is a wasteful number, since it uses less digits than its factorization.

102288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41541 (or 41533 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 102288032 is about 10113.7545946103. The cubic root of 102288032 is about 467.6722569579.

It can be divided in two parts, 10228803 and 2, that multiplied together give a triangular number (20457606 = T₆₃₉₆).

The spelling of 102288032 in words is "one hundred two million, two hundred eighty-eight thousand, thirty-two".