105224302054110 has 16 divisors (see below), whose sum is σ = 252538324929936. Its totient is φ = 28059813881088.

The previous prime is 105224302053991. The next prime is 105224302054111. The reversal of 105224302054110 is 11450203422501.

It is a super-2 number, since 2×105224302054110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3507476735137 = 105224302054110 / (1 + 0 + 5 + 2 + 2 + 4 + 3 + 0 + 2 + 0 + 5 + 4 + 1 + 1 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105224302054111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1753738367539 + ... + 1753738367598.

It is an arithmetic number, because the mean of its divisors is an integer number (15783645308121).

Almost surely, 2^{105224302054110} is an apocalyptic number.

105224302054110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105224302054110 is an abundant number, since it is smaller than the sum of its proper divisors (147314022875826).

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

105224302054110 is a wasteful number, since it uses less digits than its factorization.

105224302054110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507476735147.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 105224302054110 its reverse (11450203422501), we get a palindrome (116674505476611).

The spelling of 105224302054110 in words is "one hundred five trillion, two hundred twenty-four billion, three hundred two million, fifty-four thousand, one hundred ten".