100001004 has 24 divisors (see below), whose sum is σ = 247061808. Its totient is φ = 31372800.

The previous prime is 100000969. The next prime is 100001029. The reversal of 100001004 is 400100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a junction number, because it is equal to n+sod(n) for n = 100000983 and 100001001.

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 7 ways as a sum of consecutive naturals, for example, 244897 + ... + 245304.

It is an arithmetic number, because the mean of its divisors is an integer number (10294242).

Almost surely, 2^100001004 is an apocalyptic number.

It is an amenable number.

100001004 is an abundant number, since it is smaller than the sum of its proper divisors (147060804).

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

100001004 is a wasteful number, since it uses less digits than its factorization.

100001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490225 (or 490223 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100001004 is about 10000.0501998740. The cubic root of 100001004 is about 464.1604367411.

Adding to 100001004 its reverse (400100001), we get a palindrome (500101005).

The spelling of 100001004 in words is "one hundred million, one thousand, four".