10505116210 has 16 divisors (see below), whose sum is σ = 18910501056. Its totient is φ = 4201759408.

The previous prime is 10505116177. The next prime is 10505116213. The reversal of 10505116210 is 1261150501.

It is a happy number.

It is a super-3 number, since 3×10505116210³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10505116213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179187 + ... + 230473.

It is an arithmetic number, because the mean of its divisors is an integer number (1181906316).

Almost surely, 2^10505116210 is an apocalyptic number.

10505116210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505116210 is a deficient number, since it is larger than the sum of its proper divisors (8405384846).

10505116210 is a wasteful number, since it uses less digits than its factorization.

10505116210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71777.

The product of its (nonzero) digits is 300, while the sum is 22.

Adding to 10505116210 its reverse (1261150501), we get a palindrome (11766266711).

The spelling of 10505116210 in words is "ten billion, five hundred five million, one hundred sixteen thousand, two hundred ten".