105506110001010 has 32 divisors (see below), whose sum is σ = 256781067725952. Its totient is φ = 27738695586560.

The previous prime is 105506110000927. The next prime is 105506110001027. The reversal of 105506110001010 is 10100011605501.

It is a happy number.

It is a super-3 number, since 3×105506110001010³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24766690359 + ... + 24766694618.

It is an arithmetic number, because the mean of its divisors is an integer number (8024408366436).

Almost surely, 2^{105506110001010} is an apocalyptic number.

105506110001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105506110001010 is an abundant number, since it is smaller than the sum of its proper divisors (151274957724942).

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

105506110001010 is a wasteful number, since it uses less digits than its factorization.

105506110001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49533385058.

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

Adding to 105506110001010 its reverse (10100011605501), we get a palindrome (115606121606511).

The spelling of 105506110001010 in words is "one hundred five trillion, five hundred six billion, one hundred ten million, one thousand, ten".