1000100032 has 56 divisors (see below), whose sum is σ = 2088032400. Its totient is φ = 474571776.

The previous prime is 1000100009. The next prime is 1000100033. The reversal of 1000100032 is 2300010001.

It is a junction number, because it is equal to n+sod(n) for n = 1000099988 and 1000100024.

It is not an unprimeable number, because it can be changed into a prime (1000100033) 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 7 ways as a sum of consecutive naturals, for example, 104938 + ... + 114070.

Almost surely, 2^1000100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044016200).

1000100032 is an abundant number, since it is smaller than the sum of its proper divisors (1087932368).

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

1000100032 is an equidigital number, since it uses as much as digits as its factorization.

1000100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1000100032 is about 31624.3582069265. The cubic root of 1000100032 is about 1000.0333428882.

Adding to 1000100032 its reverse (2300010001), we get a palindrome (3300110033).

The spelling of 1000100032 in words is "one billion, one hundred thousand, thirty-two".