10039104 has 84 divisors (see below), whose sum is σ = 29817060. Its totient is φ = 3225600.

The previous prime is 10039103. The next prime is 10039121. The reversal of 10039104 is 40193001.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 3069504 = 2640^2 + 1752^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10039103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16404 + ... + 17004.

It is an arithmetic number, because the mean of its divisors is an integer number (354965).

Almost surely, 2^10039104 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 10039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14908530).

10039104 is an abundant number, since it is smaller than the sum of its proper divisors (19777956).

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

10039104 is a wasteful number, since it uses less digits than its factorization.

10039104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10039104 is about 3168.4545128501. The cubic root of 10039104 is about 215.7239271328.

It can be divided in two parts, 100 and 39104, that added together give a square (39204 = 198²).

The spelling of 10039104 in words is "ten million, thirty-nine thousand, one hundred four".