101006504 has 16 divisors (see below), whose sum is σ = 190660500. Its totient is φ = 50163712.

The previous prime is 101006491. The next prime is 101006513. The reversal of 101006504 is 405600101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100200100 + 806404 = 10010^2 + 898^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41177 + ... + 43560.

Almost surely, 2^101006504 is an apocalyptic number.

It is an amenable number.

101006504 is a deficient number, since it is larger than the sum of its proper divisors (89653996).

101006504 is a wasteful number, since it uses less digits than its factorization.

101006504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84892 (or 84888 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101006504 is about 10050.1992020059. The cubic root of 101006504 is about 465.7109469981.

Adding to 101006504 its reverse (405600101), we get a palindrome (506606605).

The spelling of 101006504 in words is "one hundred one million, six thousand, five hundred four".