1004042100 has 72 divisors (see below), whose sum is σ = 3075928128. Its totient is φ = 251993600.

The previous prime is 1004042093. The next prime is 1004042173. The reversal of 1004042100 is 12404001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93336 + ... + 103535.

It is an arithmetic number, because the mean of its divisors is an integer number (42721224).

Almost surely, 2^1004042100 is an apocalyptic number.

1004042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004042100 is an abundant number, since it is smaller than the sum of its proper divisors (2071886028).

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

1004042100 is a wasteful number, since it uses less digits than its factorization.

1004042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196905 (or 196898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1004042100 is about 31686.6233606549. The cubic root of 1004042100 is about 1001.3455553355.

Adding to 1004042100 its reverse (12404001), we get a palindrome (1016446101).

The spelling of 1004042100 in words is "one billion, four million, forty-two thousand, one hundred".