105404143504413 has 32 divisors (see below), whose sum is σ = 151419574051200. Its totient is φ = 64834077966336.

The previous prime is 105404143504403. The next prime is 105404143504417. The reversal of 105404143504413 is 314405341404501.

It is not a de Polignac number, because 105404143504413 - 2⁴ = 105404143504397 is a prime.

It is a super-4 number, since 4×105404143504413⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105404143504417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343253406 + ... + 1343331872.

It is an arithmetic number, because the mean of its divisors is an integer number (4731861689100).

Almost surely, 2^{105404143504413} is an apocalyptic number.

105404143504413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105404143504413 is a deficient number, since it is larger than the sum of its proper divisors (46015430546787).

105404143504413 is a wasteful number, since it uses less digits than its factorization.

105404143504413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93981.

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 105404143504413 its reverse (314405341404501), we get a palindrome (419809484908914).

The spelling of 105404143504413 in words is "one hundred five trillion, four hundred four billion, one hundred forty-three million, five hundred four thousand, four hundred thirteen".