10105105506110 has 32 divisors (see below), whose sum is σ = 18228064960512. Its totient is φ = 4033411822080.

The previous prime is 10105105506037. The next prime is 10105105506113. The reversal of 10105105506110 is 1160550150101.

It is a super-2 number, since 2×10105105506110² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10105105506110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105105506113) 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, 8975555 + ... + 10038465.

It is an arithmetic number, because the mean of its divisors is an integer number (569627030016).

Almost surely, 2^{10105105506110} is an apocalyptic number.

10105105506110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105105506110 is a deficient number, since it is larger than the sum of its proper divisors (8122959454402).

10105105506110 is a wasteful number, since it uses less digits than its factorization.

10105105506110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064948.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 10105105506110 its reverse (1160550150101), we get a palindrome (11265655656211).

The spelling of 10105105506110 in words is "ten trillion, one hundred five billion, one hundred five million, five hundred six thousand, one hundred ten".