105800924736001 has 8 divisors (see below), whose sum is σ = 115419463660800. Its totient is φ = 96182431317840.

The previous prime is 105800924735791. The next prime is 105800924736007. The reversal of 105800924736001 is 100637429008501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105800924736001 - 2¹⁷ = 105800924604929 is a prime.

It is a super-2 number, since 2×105800924736001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105800924736007) 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 7 ways as a sum of consecutive naturals, for example, 6421546 + ... + 15900883.

It is an arithmetic number, because the mean of its divisors is an integer number (14427432957600).

It is a 1-persistent number, because it is pandigital, but 2⋅105800924736001 = 211601849472002 is not.

Almost surely, 2^{105800924736001} is an apocalyptic number.

105800924736001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105800924736001 is a deficient number, since it is larger than the sum of its proper divisors (9618538924799).

105800924736001 is a wasteful number, since it uses less digits than its factorization.

105800924736001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22753319.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 105800924736001 in words is "one hundred five trillion, eight hundred billion, nine hundred twenty-four million, seven hundred thirty-six thousand, one".