102133242 has 48 divisors (see below), whose sum is σ = 225412200. Its totient is φ = 33417216.

The previous prime is 102133223. The next prime is 102133247. The reversal of 102133242 is 242331201.

It can be written as a sum of positive squares in 4 ways, for example, as 24710841 + 77422401 = 4971^2 + 8799^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102133247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302898 + ... + 303234.

Almost surely, 2^102133242 is an apocalyptic number.

102133242 is an abundant number, since it is smaller than the sum of its proper divisors (123278958).

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

102133242 is a wasteful number, since it uses less digits than its factorization.

102133242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102133242 is about 10106.0992474842. The cubic root of 102133242 is about 467.4362321633.

Adding to 102133242 its reverse (242331201), we get a palindrome (344464443).

The spelling of 102133242 in words is "one hundred two million, one hundred thirty-three thousand, two hundred forty-two".