105404372827835 has 32 divisors (see below), whose sum is σ = 128349827424000. Its totient is φ = 83085891163776.

The previous prime is 105404372827829. The next prime is 105404372827837. The reversal of 105404372827835 is 538728273404501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105404372827835 is a prime.

It is a super-2 number, since 2×105404372827835² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105404372827837) 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, 2385825776 + ... + 2385869954.

It is an arithmetic number, because the mean of its divisors is an integer number (4010932107000).

Almost surely, 2^{105404372827835} is an apocalyptic number.

105404372827835 is a deficient number, since it is larger than the sum of its proper divisors (22945454596165).

105404372827835 is a wasteful number, since it uses less digits than its factorization.

105404372827835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59435.

The product of its (nonzero) digits is 45158400, while the sum is 59.

The spelling of 105404372827835 in words is "one hundred five trillion, four hundred four billion, three hundred seventy-two million, eight hundred twenty-seven thousand, eight hundred thirty-five".