102094112 has 48 divisors (see below), whose sum is σ = 216897912. Its totient is φ = 47124480.

The previous prime is 102094103. The next prime is 102094151. The reversal of 102094112 is 211490201.

It can be written as a sum of positive squares in 4 ways, for example, as 99121936 + 2972176 = 9956^2 + 1724^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27062 + ... + 30602.

Almost surely, 2^102094112 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 102094112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108448956).

102094112 is an abundant number, since it is smaller than the sum of its proper divisors (114803800).

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

102094112 is a wasteful number, since it uses less digits than its factorization.

102094112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 102094112 is about 10104.1631024049. The cubic root of 102094112 is about 467.3765287282.

The spelling of 102094112 in words is "one hundred two million, ninety-four thousand, one hundred twelve".