2105370414017 has 8 divisors (see below), whose sum is σ = 2269351831656. Its totient is φ = 1941678974592.

The previous prime is 2105370413981. The next prime is 2105370414031. The reversal of 2105370414017 is 7104140735012.

It can be written as a sum of positive squares in 4 ways, for example, as 70799098561 + 2034571315456 = 266081^2 + 1426384^2 .

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 2105370414017 - 2⁶ = 2105370413953 is a prime.

It is a super-2 number, since 2×2105370414017² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2105370414617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72479468 + ... + 72508509.

It is an arithmetic number, because the mean of its divisors is an integer number (283668978957).

Almost surely, 2^{2105370414017} is an apocalyptic number.

It is an amenable number.

2105370414017 is a deficient number, since it is larger than the sum of its proper divisors (163981417639).

2105370414017 is a wasteful number, since it uses less digits than its factorization.

2105370414017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144989107.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 2105370414017 in words is "two trillion, one hundred five billion, three hundred seventy million, four hundred fourteen thousand, seventeen".