1032530100 has 144 divisors (see below), whose sum is σ = 3479027328. Its totient is φ = 231528960.

The previous prime is 1032530069. The next prime is 1032530117. The reversal of 1032530100 is 10352301.

It is a happy number.

1032530100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1032530100² = 2132236814812020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1032530100.

It is a congruent number.

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, 106662 + ... + 115938.

It is an arithmetic number, because the mean of its divisors is an integer number (24159912).

Almost surely, 2^1032530100 is an apocalyptic number.

1032530100 is a gapful number since it is divisible by the number (10) 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 1032530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739513664).

1032530100 is an abundant number, since it is smaller than the sum of its proper divisors (2446497228).

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

1032530100 is a wasteful number, since it uses less digits than its factorization.

1032530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1032530100 is about 32133.0063952939. The cubic root of 1032530100 is about 1010.7278679689.

Adding to 1032530100 its reverse (10352301), we get a palindrome (1042882401).

The spelling of 1032530100 in words is "one billion, thirty-two million, five hundred thirty thousand, one hundred".