10003956 has 96 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 2838528.

The previous prime is 10003951. The next prime is 10003957. The reversal of 10003956 is 65930001.

10003956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112360 + ... + 112448.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^10003956 is an apocalyptic number.

10003956 is the 1691-st nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

10003956 is an abundant number, since it is smaller than the sum of its proper divisors (17212044).

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

10003956 is a wasteful number, since it uses less digits than its factorization.

10003956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 10003956 is about 3162.9030968400. The cubic root of 10003956 is about 215.4718750698.

Adding to 10003956 its reverse (65930001), we get a palindrome (75933957).

The spelling of 10003956 in words is "ten million, three thousand, nine hundred fifty-six".