10014004 has 96 divisors (see below), whose sum is σ = 24498432. Its totient is φ = 3456000.

The previous prime is 10013981. The next prime is 10014031. The reversal of 10014004 is 40041001.

10014004 = T₈₅ + T₈₆ + ... + T₃₉₂.

It is a super-2 number, since 2×10014004² = 200560552224032, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 164134 + ... + 164194.

It is an arithmetic number, because the mean of its divisors is an integer number (255192).

Almost surely, 2^10014004 is an apocalyptic number.

10014004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249216).

10014004 is an abundant number, since it is smaller than the sum of its proper divisors (14484428).

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

10014004 is a wasteful number, since it uses less digits than its factorization.

10014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10014004 is about 3164.4911123275. The cubic root of 10014004 is about 215.5439911054.

Adding to 10014004 its reverse (40041001), we get a palindrome (50055005).

It can be divided in two parts, 1001 and 4004, that multiplied together give a palindrome (4008004).

The spelling of 10014004 in words is "ten million, fourteen thousand, four".