1029104532 has 72 divisors (see below), whose sum is σ = 2679604200. Its totient is φ = 332771328.

The previous prime is 1029104507. The next prime is 1029104539. The reversal of 1029104532 is 2354019201.

1029104532 is a `hidden beast` number, since 1 + 0 + 29 + 104 + 532 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585833616 + 443270916 = 24204^2 + 21054^2 .

It is a super-2 number, since 2×1029104532² = 2118112275565878048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1029104496 and 1029104505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029104539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543844 + ... + 545732.

It is an arithmetic number, because the mean of its divisors is an integer number (37216725).

Almost surely, 2^1029104532 is an apocalyptic number.

1029104532 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 1029104532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339802100).

1029104532 is an abundant number, since it is smaller than the sum of its proper divisors (1650499668).

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

1029104532 is a wasteful number, since it uses less digits than its factorization.

1029104532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1029104532 is about 32079.6591627779. The cubic root of 1029104532 is about 1009.6088842781.

The spelling of 1029104532 in words is "one billion, twenty-nine million, one hundred four thousand, five hundred thirty-two".