105561101010 has 64 divisors (see below), whose sum is σ = 275499418752. Its totient is φ = 25777714176.

The previous prime is 105561100991. The next prime is 105561101021. The reversal of 105561101010 is 10101165501.

It is a happy number.

It is a super-3 number, since 3×105561101010³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2778192 + ... + 2815931.

It is an arithmetic number, because the mean of its divisors is an integer number (4304678418).

Almost surely, 2^105561101010 is an apocalyptic number.

105561101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105561101010 is an abundant number, since it is smaller than the sum of its proper divisors (169938317742).

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

105561101010 is a wasteful number, since it uses less digits than its factorization.

105561101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594187.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 105561101010 its reverse (10101165501), we get a palindrome (115662266511).

The spelling of 105561101010 in words is "one hundred five billion, five hundred sixty-one million, one hundred one thousand, ten".