102214112 has 96 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 36748800.

The previous prime is 102214111. The next prime is 102214117. The reversal of 102214112 is 211412201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102214111) 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 15 ways as a sum of consecutive naturals, for example, 30437 + ... + 33627.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2^102214112 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 102214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

102214112 is an abundant number, since it is smaller than the sum of its proper divisors (168058912).

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

102214112 is a wasteful number, since it uses less digits than its factorization.

102214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 102214112 is about 10110.0995049505. The cubic root of 102214112 is about 467.5595729893.

Adding to 102214112 its reverse (211412201), we get a palindrome (313626313).

It can be divided in two parts, 10 and 2214112, that added together give a palindrome (2214122).

The spelling of 102214112 in words is "one hundred two million, two hundred fourteen thousand, one hundred twelve".