105034234410 has 192 divisors, whose sum is σ = 330769094400. Its totient is φ = 23232977280.

The previous prime is 105034234397. The next prime is 105034234463. The reversal of 105034234410 is 14432430501.

It is a happy number.

105034234410 is a `hidden beast` number, since 10 + 5 + 0 + 3 + 4 + 234 + 410 = 666.

It is a super-2 number, since 2×105034234410² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1787376 + ... + 1845204.

It is an arithmetic number, because the mean of its divisors is an integer number (1722755700).

Almost surely, 2^105034234410 is an apocalyptic number.

105034234410 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 105034234410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165384547200).

105034234410 is an abundant number, since it is smaller than the sum of its proper divisors (225734859990).

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

105034234410 is a wasteful number, since it uses less digits than its factorization.

105034234410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57914 (or 57877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105034234410 its reverse (14432430501), we get a palindrome (119466664911).

The spelling of 105034234410 in words is "one hundred five billion, thirty-four million, two hundred thirty-four thousand, four hundred ten".