101504 has 32 divisors (see below), whose sum is σ = 221340. Its totient is φ = 46080.

The previous prime is 101503. The next prime is 101513. The reversal of 101504 is 405101.

It can be written as a sum of positive squares in 2 ways, for example, as 78400 + 23104 = 280^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (101501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1634 + ... + 1694.

2¹⁰¹⁵⁰⁴ 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 101504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110670).

101504 is an abundant number, since it is smaller than the sum of its proper divisors (119836).

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

101504 is an equidigital number, since it uses as much as digits as its factorization.

101504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 101504 is about 318.5969240278. The cubic root of 101504 is about 46.6474297129.

Adding to 101504 its reverse (405101), we get a palindrome (506605).

The spelling of 101504 in words is "one hundred one thousand, five hundred four".