102322116 has 120 divisors (see below), whose sum is σ = 305224920. Its totient is φ = 29611008.

The previous prime is 102322111. The next prime is 102322123. The reversal of 102322116 is 611223201.

It can be written as a sum of positive squares in 4 ways, for example, as 715716 + 101606400 = 846^2 + 10080^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102322111) 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 39 ways as a sum of consecutive naturals, for example, 70890 + ... + 72318.

It is an arithmetic number, because the mean of its divisors is an integer number (2543541).

Almost surely, 2^102322116 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 102322116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152612460).

102322116 is an abundant number, since it is smaller than the sum of its proper divisors (202902804).

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

102322116 is a wasteful number, since it uses less digits than its factorization.

102322116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102322116 is about 10115.4394862507. The cubic root of 102322116 is about 467.7241964687.

Adding to 102322116 its reverse (611223201), we get a palindrome (713545317).

The spelling of 102322116 in words is "one hundred two million, three hundred twenty-two thousand, one hundred sixteen".