803513106 has 96 divisors (see below), whose sum is σ = 1959624576. Its totient is φ = 235872000.

The previous prime is 803513101. The next prime is 803513107. The reversal of 803513106 is 601315308.

803513106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 803513106.

It is not an unprimeable number, because it can be changed into a prime (803513101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857070 + ... + 858006.

It is an arithmetic number, because the mean of its divisors is an integer number (20412756).

Almost surely, 2^803513106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803513106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979812288).

803513106 is an abundant number, since it is smaller than the sum of its proper divisors (1156111470).

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

803513106 is a wasteful number, since it uses less digits than its factorization.

803513106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 803513106 is about 28346.3067435601. The cubic root of 803513106 is about 929.6746485925.

The spelling of 803513106 in words is "eight hundred three million, five hundred thirteen thousand, one hundred six".