105335421042401 has 16 divisors (see below), whose sum is σ = 119984924937600. Its totient is φ = 91536885601920.

The previous prime is 105335421042353. The next prime is 105335421042407. The reversal of 105335421042401 is 104240124533501.

It is not a de Polignac number, because 105335421042401 - 2²² = 105335416848097 is a prime.

It is a super-2 number, since 2×105335421042401² (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 (105335421042407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133999820 + ... + 134783613.

It is an arithmetic number, because the mean of its divisors is an integer number (7499057808600).

Almost surely, 2^{105335421042401} is an apocalyptic number.

105335421042401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105335421042401 is a deficient number, since it is larger than the sum of its proper divisors (14649503895199).

105335421042401 is a wasteful number, since it uses less digits than its factorization.

105335421042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268785016.

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 105335421042401 its reverse (104240124533501), we get a palindrome (209575545575902).

The spelling of 105335421042401 in words is "one hundred five trillion, three hundred thirty-five billion, four hundred twenty-one million, forty-two thousand, four hundred one".