105034234110 has 128 divisors (see below), whose sum is σ = 276296832000. Its totient is φ = 25397836800.

The previous prime is 105034234099. The next prime is 105034234117. The reversal of 105034234110 is 11432430501.

It is a happy number.

It is a super-2 number, since 2×105034234110² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105034234117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7774141 + ... + 7787639.

It is an arithmetic number, because the mean of its divisors is an integer number (2158569000).

Almost surely, 2^105034234110 is an apocalyptic number.

105034234110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105034234110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138148416000).

105034234110 is an abundant number, since it is smaller than the sum of its proper divisors (171262597890).

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

105034234110 is a wasteful number, since it uses less digits than its factorization.

105034234110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13874.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 105034234110 its reverse (11432430501), we get a palindrome (116466664611).

The spelling of 105034234110 in words is "one hundred five billion, thirty-four million, two hundred thirty-four thousand, one hundred ten".