102290192 has 40 divisors (see below), whose sum is σ = 207408600. Its totient is φ = 48806912.

The previous prime is 102290191. The next prime is 102290213. The reversal of 102290192 is 291092201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5779216 + 96510976 = 2404^2 + 9824^2 .

It is not an unprimeable number, because it can be changed into a prime (102290191) 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, 40058 + ... + 42534.

It is an arithmetic number, because the mean of its divisors is an integer number (5185215).

Almost surely, 2^102290192 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 102290192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103704300).

102290192 is an abundant number, since it is smaller than the sum of its proper divisors (105118408).

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

102290192 is a wasteful number, since it uses less digits than its factorization.

102290192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 102290192 is about 10113.8613793150. The cubic root of 102290192 is about 467.6755488548.

The spelling of 102290192 in words is "one hundred two million, two hundred ninety thousand, one hundred ninety-two".