102333132 has 144 divisors (see below), whose sum is σ = 310407552. Its totient is φ = 29134080.

The previous prime is 102333103. The next prime is 102333151. The reversal of 102333132 is 231333201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181483 + ... + 182045.

It is an arithmetic number, because the mean of its divisors is an integer number (2155608).

Almost surely, 2^102333132 is an apocalyptic number.

102333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155203776).

102333132 is an abundant number, since it is smaller than the sum of its proper divisors (208074420).

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

102333132 is a wasteful number, since it uses less digits than its factorization.

102333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 102333132 is about 10115.9839857524. The cubic root of 102333132 is about 467.7409809302.

Adding to 102333132 its product of nonzero digits (324), we get a square (102333456 = 10116²).

Adding to 102333132 its reverse (231333201), we get a palindrome (333666333).

The spelling of 102333132 in words is "one hundred two million, three hundred thirty-three thousand, one hundred thirty-two".