105111400325 has 12 divisors (see below), whose sum is σ = 130342352868. Its totient is φ = 84086400000.

The previous prime is 105111400321. The next prime is 105111400337. The reversal of 105111400325 is 523004111501.

It can be written as a sum of positive squares in 6 ways, for example, as 1139332516 + 103972067809 = 33754^2 + 322447^2 .

It is not a de Polignac number, because 105111400325 - 2² = 105111400321 is a prime.

It is a super-2 number, since 2×105111400325² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105111400325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111400321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1143269 + ... + 1231781.

It is an arithmetic number, because the mean of its divisors is an integer number (10861862739).

Almost surely, 2^105111400325 is an apocalyptic number.

It is an amenable number.

105111400325 is a deficient number, since it is larger than the sum of its proper divisors (25230952543).

105111400325 is an equidigital number, since it uses as much as digits as its factorization.

105111400325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136024 (or 136019 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 105111400325 its reverse (523004111501), we get a palindrome (628115511826).

The spelling of 105111400325 in words is "one hundred five billion, one hundred eleven million, four hundred thousand, three hundred twenty-five".