1004132100 has 72 divisors (see below), whose sum is σ = 2912952448. Its totient is φ = 267062400.

The previous prime is 1004132093. The next prime is 1004132119. The reversal of 1004132100 is 12314001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 114885 + ... + 123315.

Almost surely, 2^1004132100 is an apocalyptic number.

1004132100 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 1004132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456476224).

1004132100 is an abundant number, since it is smaller than the sum of its proper divisors (1908820348).

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

1004132100 is a wasteful number, since it uses less digits than its factorization.

1004132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8845 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1004132100 is about 31688.0434864635. The cubic root of 1004132100 is about 1001.3754738709.

Adding to 1004132100 its reverse (12314001), we get a palindrome (1016446101).

The spelling of 1004132100 in words is "one billion, four million, one hundred thirty-two thousand, one hundred".