105411231225 has 84 divisors (see below), whose sum is σ = 196138251036. Its totient is φ = 56172579840.

The previous prime is 105411231223. The next prime is 105411231251. The reversal of 105411231225 is 522132114501.

It is a happy number.

105411231225 is a `hidden beast` number, since 1 + 0 + 5 + 411 + 23 + 1 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2385638649 + 103025592576 = 48843^2 + 320976^2 .

It is not a de Polignac number, because 105411231225 - 2¹ = 105411231223 is a prime.

It is a super-2 number, since 2×105411231225² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105411231223) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43611217 + ... + 43613633.

It is an arithmetic number, because the mean of its divisors is an integer number (2334979179).

Almost surely, 2^105411231225 is an apocalyptic number.

105411231225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105411231225 is a deficient number, since it is larger than the sum of its proper divisors (90727019811).

105411231225 is an equidigital number, since it uses as much as digits as its factorization.

105411231225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 105411231225 its reverse (522132114501), we get a palindrome (627543345726).

The spelling of 105411231225 in words is "one hundred five billion, four hundred eleven million, two hundred thirty-one thousand, two hundred twenty-five".