105023820405 has 32 divisors (see below), whose sum is σ = 202151116800. Its totient is φ = 45483999552.

The previous prime is 105023820371. The next prime is 105023820409. The reversal of 105023820405 is 504028320501.

It is not a de Polignac number, because 105023820405 - 2⁹ = 105023819893 is a prime.

It is a super-2 number, since 2×105023820405² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105023820409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26319765 + ... + 26323754.

It is an arithmetic number, because the mean of its divisors is an integer number (6317222400).

Almost surely, 2^105023820405 is an apocalyptic number.

105023820405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105023820405 is a deficient number, since it is larger than the sum of its proper divisors (97127296395).

105023820405 is a wasteful number, since it uses less digits than its factorization.

105023820405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52643553.

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 105023820405 in words is "one hundred five billion, twenty-three million, eight hundred twenty thousand, four hundred five".