101006004 has 48 divisors (see below), whose sum is σ = 264067776. Its totient is φ = 29779200.

The previous prime is 101005997. The next prime is 101006069. The reversal of 101006004 is 400600101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5457 + ... + 15224.

It is an arithmetic number, because the mean of its divisors is an integer number (5501412).

Almost surely, 2^101006004 is an apocalyptic number.

It is an amenable number.

101006004 is an abundant number, since it is smaller than the sum of its proper divisors (163061772).

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

101006004 is a wasteful number, since it uses less digits than its factorization.

101006004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20736 (or 20734 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101006004 is about 10050.1743268463. The cubic root of 101006004 is about 465.7101785464.

Adding to 101006004 its reverse (400600101), we get a palindrome (501606105).

The spelling of 101006004 in words is "one hundred one million, six thousand, four".