102242322 has 144 divisors (see below), whose sum is σ = 286197912. Its totient is φ = 26127360.

The previous prime is 102242303. The next prime is 102242323. The reversal of 102242322 is 223242201.

102242322 is a `hidden beast` number, since 102 + 242 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97002801 + 5239521 = 9849^2 + 2289^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102242295 and 102242304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102242323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 424122 + ... + 424362.

Almost surely, 2^102242322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102242322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143098956).

102242322 is an abundant number, since it is smaller than the sum of its proper divisors (183955590).

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

102242322 is a wasteful number, since it uses less digits than its factorization.

102242322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102242322 is about 10111.4945482851. The cubic root of 102242322 is about 467.6025828440.

Adding to 102242322 its reverse (223242201), we get a palindrome (325484523).

The spelling of 102242322 in words is "one hundred two million, two hundred forty-two thousand, three hundred twenty-two".