102422112 has 144 divisors (see below), whose sum is σ = 298831680. Its totient is φ = 30690816.

The previous prime is 102422107. The next prime is 102422137. The reversal of 102422112 is 211224201.

It is a junction number, because it is equal to n+sod(n) for n = 102422091 and 102422100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957163 + ... + 957269.

It is an arithmetic number, because the mean of its divisors is an integer number (2075220).

Almost surely, 2^102422112 is an apocalyptic number.

102422112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149415840).

102422112 is an abundant number, since it is smaller than the sum of its proper divisors (196409568).

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

102422112 is a wasteful number, since it uses less digits than its factorization.

102422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102422112 is about 10120.3810204952. The cubic root of 102422112 is about 467.8765106281.

Adding to 102422112 its reverse (211224201), we get a palindrome (313646313).

The spelling of 102422112 in words is "one hundred two million, four hundred twenty-two thousand, one hundred twelve".