102112224 has 48 divisors (see below), whose sum is σ = 270445392. Its totient is φ = 33732608.

The previous prime is 102112223. The next prime is 102112237. The reversal of 102112224 is 422211201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6142 + ... + 15554.

It is an arithmetic number, because the mean of its divisors is an integer number (5634279).

Almost surely, 2^102112224 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 102112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135222696).

102112224 is an abundant number, since it is smaller than the sum of its proper divisors (168333168).

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

102112224 is a wasteful number, since it uses less digits than its factorization.

102112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539 (or 9531 counting only the distinct ones).

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

The square root of 102112224 is about 10105.0593268917. The cubic root of 102112224 is about 467.4041653959.

Adding to 102112224 its reverse (422211201), we get a palindrome (524323425).

The spelling of 102112224 in words is "one hundred two million, one hundred twelve thousand, two hundred twenty-four".