102133552 has 40 divisors (see below), whose sum is σ = 211928400. Its totient is φ = 47511552.

The previous prime is 102133517. The next prime is 102133553. The reversal of 102133552 is 255331201.

It is not an unprimeable number, because it can be changed into a prime (102133553) 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 7 ways as a sum of consecutive naturals, for example, 22099 + ... + 26317.

It is an arithmetic number, because the mean of its divisors is an integer number (5298210).

Almost surely, 2^102133552 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 102133552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105964200).

102133552 is an abundant number, since it is smaller than the sum of its proper divisors (109794848).

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

102133552 is a wasteful number, since it uses less digits than its factorization.

102133552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 102133552 is about 10106.1145847452. The cubic root of 102133552 is about 467.4367050915.

Adding to 102133552 its reverse (255331201), we get a palindrome (357464753).

The spelling of 102133552 in words is "one hundred two million, one hundred thirty-three thousand, five hundred fifty-two".