105010550110110 has 32 divisors (see below), whose sum is σ = 252025590136320. Its totient is φ = 28002783376928.

The previous prime is 105010550110097. The next prime is 105010550110121. The reversal of 105010550110110 is 11011055010501.

It is a super-2 number, since 2×105010550110110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 51953479 + ... + 53936861.

It is an arithmetic number, because the mean of its divisors is an integer number (7875799691760).

Almost surely, 2^{105010550110110} is an apocalyptic number.

105010550110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105010550110110 is an abundant number, since it is smaller than the sum of its proper divisors (147015040026210).

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

105010550110110 is a wasteful number, since it uses less digits than its factorization.

105010550110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748232.

The product of its (nonzero) digits is 125, while the sum is 21.

The spelling of 105010550110110 in words is "one hundred five trillion, ten billion, five hundred fifty million, one hundred ten thousand, one hundred ten".