10505060506110 has 32 divisors (see below), whose sum is σ = 25231435396992. Its totient is φ = 2799206114720.

The previous prime is 10505060506099. The next prime is 10505060506111. The reversal of 10505060506110 is 1160506050501.

It is a super-2 number, since 2×10505060506110² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505060506111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133919736 + ... + 133998155.

It is an arithmetic number, because the mean of its divisors is an integer number (788482356156).

Almost surely, 2^{10505060506110} is an apocalyptic number.

10505060506110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505060506110 is an abundant number, since it is smaller than the sum of its proper divisors (14726374890882).

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

10505060506110 is a wasteful number, since it uses less digits than its factorization.

10505060506110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267919208.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 10505060506110 its reverse (1160506050501), we get a palindrome (11665566556611).

The spelling of 10505060506110 in words is "ten trillion, five hundred five billion, sixty million, five hundred six thousand, one hundred ten".