102212032 has 56 divisors (see below), whose sum is σ = 223587056. Its totient is φ = 46061568.

The previous prime is 102212021. The next prime is 102212059. The reversal of 102212032 is 230212201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34348 + ... + 37204.

It is an arithmetic number, because the mean of its divisors is an integer number (3992626).

Almost surely, 2^102212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111793528).

102212032 is an abundant number, since it is smaller than the sum of its proper divisors (121375024).

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

102212032 is a wasteful number, since it uses less digits than its factorization.

102212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102212032 is about 10109.9966369925. The cubic root of 102212032 is about 467.5564014425.

Adding to 102212032 its reverse (230212201), we get a palindrome (332424233).

The spelling of 102212032 in words is "one hundred two million, two hundred twelve thousand, thirty-two".