101004008 has 32 divisors (see below), whose sum is σ = 220527360. Its totient is φ = 42469440.

The previous prime is 101003999. The next prime is 101004011. The reversal of 101004008 is 800400101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101003983 and 101004001.

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 7 ways as a sum of consecutive naturals, for example, 14048 + ... + 19983.

It is an arithmetic number, because the mean of its divisors is an integer number (6891480).

Almost surely, 2^101004008 is an apocalyptic number.

It is an amenable number.

101004008 is an abundant number, since it is smaller than the sum of its proper divisors (119523352).

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

101004008 is a wasteful number, since it uses less digits than its factorization.

101004008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34097 (or 34093 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101004008 is about 10050.0750245956. The cubic root of 101004008 is about 465.7071108620.

Adding to 101004008 its reverse (800400101), we get a palindrome (901404109).

The spelling of 101004008 in words is "one hundred one million, four thousand, eight".