105455331345 has 64 divisors (see below), whose sum is σ = 219881571840. Its totient is φ = 41882185728.

The previous prime is 105455331313. The next prime is 105455331353. The reversal of 105455331345 is 543133554501.

It is not a de Polignac number, because 105455331345 - 2⁵ = 105455331313 is a prime.

It is a super-2 number, since 2×105455331345² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2249050 + ... + 2295459.

It is an arithmetic number, because the mean of its divisors is an integer number (3435649560).

Almost surely, 2^105455331345 is an apocalyptic number.

105455331345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105455331345 is an abundant number, since it is smaller than the sum of its proper divisors (114426240495).

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

105455331345 is a wasteful number, since it uses less digits than its factorization.

105455331345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544554.

The product of its (nonzero) digits is 270000, while the sum is 39.

Adding to 105455331345 its reverse (543133554501), we get a palindrome (648588885846).

The spelling of 105455331345 in words is "one hundred five billion, four hundred fifty-five million, three hundred thirty-one thousand, three hundred forty-five".