1032103332 has 216 divisors, whose sum is σ = 3057982200. Its totient is φ = 291548160.

The previous prime is 1032103307. The next prime is 1032103333. The reversal of 1032103332 is 2333012301.

1032103332 is a `hidden beast` number, since 10 + 321 + 0 + 3 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91699776 + 940403556 = 9576^2 + 30666^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032103333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6926794 + ... + 6926942.

It is an arithmetic number, because the mean of its divisors is an integer number (14157325).

Almost surely, 2^1032103332 is an apocalyptic number.

1032103332 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 1032103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528991100).

1032103332 is an abundant number, since it is smaller than the sum of its proper divisors (2025878868).

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

1032103332 is a wasteful number, since it uses less digits than its factorization.

1032103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

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

The square root of 1032103332 is about 32126.3650604920. The cubic root of 1032103332 is about 1010.5885965640.

Adding to 1032103332 its reverse (2333012301), we get a palindrome (3365115633).

The spelling of 1032103332 in words is "one billion, thirty-two million, one hundred three thousand, three hundred thirty-two".