105905914401 has 16 divisors (see below), whose sum is σ = 162463536000. Its totient is φ = 60111504768.

The previous prime is 105905914351. The next prime is 105905914427. The reversal of 105905914401 is 104419509501.

It is not a de Polignac number, because 105905914401 - 2⁷ = 105905914273 is a prime.

It is a super-2 number, since 2×105905914401² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105905914401.

It is not an unprimeable number, because it can be changed into a prime (105905914501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16920156 + ... + 16926413.

It is an arithmetic number, because the mean of its divisors is an integer number (10153971000).

Almost surely, 2^105905914401 is an apocalyptic number.

It is an amenable number.

105905914401 is a deficient number, since it is larger than the sum of its proper divisors (56557621599).

105905914401 is a wasteful number, since it uses less digits than its factorization.

105905914401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33846728.

The product of its (nonzero) digits is 32400, while the sum is 39.

It can be divided in two parts, 105905 and 914401, that added together give a triangular number (1020306 = T₁₄₂₈).

The spelling of 105905914401 in words is "one hundred five billion, nine hundred five million, nine hundred fourteen thousand, four hundred one".