10505807990 has 32 divisors (see below), whose sum is σ = 19004474880. Its totient is φ = 4181484384.

The previous prime is 10505807953. The next prime is 10505807993. The reversal of 10505807990 is 9970850501.

It is a happy number.

10505807990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505807990² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505807993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1751777 + ... + 1757763.

It is an arithmetic number, because the mean of its divisors is an integer number (593889840).

Almost surely, 2^10505807990 is an apocalyptic number.

10505807990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505807990 is a deficient number, since it is larger than the sum of its proper divisors (8498666890).

10505807990 is a wasteful number, since it uses less digits than its factorization.

10505807990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836.

The product of its (nonzero) digits is 113400, while the sum is 44.

The spelling of 10505807990 in words is "ten billion, five hundred five million, eight hundred seven thousand, nine hundred ninety".