105601106501905 has 8 divisors (see below), whose sum is σ = 144824374631232. Its totient is φ = 72412187315568.

The previous prime is 105601106501843. The next prime is 105601106501911. The reversal of 105601106501905 is 509105601106501.

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 105601106501905 - 2⁹ = 105601106501393 is a prime.

It is a super-2 number, since 2×105601106501905² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 1508587235707 + ... + 1508587235776.

It is an arithmetic number, because the mean of its divisors is an integer number (18103046828904).

Almost surely, 2^{105601106501905} is an apocalyptic number.

It is an amenable number.

105601106501905 is a deficient number, since it is larger than the sum of its proper divisors (39223268129327).

105601106501905 is an equidigital number, since it uses as much as digits as its factorization.

105601106501905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017174471495.

The product of its (nonzero) digits is 40500, while the sum is 40.

The spelling of 105601106501905 in words is "one hundred five trillion, six hundred one billion, one hundred six million, five hundred one thousand, nine hundred five".