103744100408105 has 32 divisors (see below), whose sum is σ = 126756448252416. Its totient is φ = 81497117205504.

The previous prime is 103744100408087. The next prime is 103744100408153. The reversal of 103744100408105 is 501804001447301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103744100408105 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74171909 + ... + 75557661.

It is an arithmetic number, because the mean of its divisors is an integer number (3961139007888).

Almost surely, 2^{103744100408105} is an apocalyptic number.

It is an amenable number.

103744100408105 is a deficient number, since it is larger than the sum of its proper divisors (23012347844311).

103744100408105 is a wasteful number, since it uses less digits than its factorization.

103744100408105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386737.

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 103744100408105 in words is "one hundred three trillion, seven hundred forty-four billion, one hundred million, four hundred eight thousand, one hundred five".