101004 has 24 divisors (see below), whose sum is σ = 248640. Its totient is φ = 31824.

The previous prime is 100999. The next prime is 101009. The reversal of 101004 is 400101.

It is an interprime number because it is at equal distance from previous prime (100999) and next prime (101009).

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 = 100983 and 101001.

It is not an unprimeable number, because it can be changed into a prime (101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (10360).

2¹⁰¹⁰⁰⁴ 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 101004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124320).

101004 is an abundant number, since it is smaller than the sum of its proper divisors (147636).

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

101004 is a wasteful number, since it uses less digits than its factorization.

101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

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

The square root of 101004 is about 317.8112647469. The cubic root of 101004 is about 46.5707098567.

Adding to 101004 its reverse (400101), we get a palindrome (501105).

The spelling of 101004 in words is "one hundred one thousand, four", and thus it is an iban number.