1030132800 has 126 divisors (see below), whose sum is σ = 3661386378. Its totient is φ = 274698240.

The previous prime is 1030132787. The next prime is 1030132801. The reversal of 1030132800 is 82310301.

It can be written as a sum of positive squares in 3 ways, for example, as 38638656 + 991494144 = 6216^2 + 31488^2 .

It is a super-2 number, since 2×1030132800² = 2122347171271680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1030132801) 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 17 ways as a sum of consecutive naturals, for example, 21369 + ... + 50168.

Almost surely, 2^1030132800 is an apocalyptic number.

1030132800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030132800 is an abundant number, since it is smaller than the sum of its proper divisors (2631253578).

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

1030132800 is a wasteful number, since it uses less digits than its factorization.

1030132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71565 (or 71547 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1030132800 is about 32095.6819525618. The cubic root of 1030132800 is about 1009.9450350770.

The spelling of 1030132800 in words is "one billion, thirty million, one hundred thirty-two thousand, eight hundred".