105404131024 has 20 divisors (see below), whose sum is σ = 209201493060. Its totient is φ = 51416648960.

The previous prime is 105404131009. The next prime is 105404131037. The reversal of 105404131024 is 420131404501.

It can be written as a sum of positive squares in 2 ways, for example, as 18360250000 + 87043881024 = 135500^2 + 295032^2 .

It is a super-2 number, since 2×105404131024² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105404131024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80337859 + ... + 80339170.

It is an arithmetic number, because the mean of its divisors is an integer number (10460074653).

Almost surely, 2^105404131024 is an apocalyptic number.

It is an amenable number.

105404131024 is a deficient number, since it is larger than the sum of its proper divisors (103797362036).

105404131024 is a wasteful number, since it uses less digits than its factorization.

105404131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160677078 (or 160677072 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 105404131024 its reverse (420131404501), we get a palindrome (525535535525).

The spelling of 105404131024 in words is "one hundred five billion, four hundred four million, one hundred thirty-one thousand, twenty-four".