1645101305105 has 16 divisors (see below), whose sum is σ = 1976908324944. Its totient is φ = 1314224455680.

The previous prime is 1645101305059. The next prime is 1645101305117. The reversal of 1645101305105 is 5015031015461.

It can be written as a sum of positive squares in 8 ways, for example, as 278332215184 + 1366769089921 = 527572^2 + 1169089^2 .

It is not a de Polignac number, because 1645101305105 - 2¹⁶ = 1645101239569 is a prime.

It is a super-2 number, since 2×1645101305105² (a number of 25 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10651997 + ... + 10805333.

It is an arithmetic number, because the mean of its divisors is an integer number (123556770309).

Almost surely, 2^{1645101305105} is an apocalyptic number.

It is an amenable number.

1645101305105 is a deficient number, since it is larger than the sum of its proper divisors (331807019839).

1645101305105 is a wasteful number, since it uses less digits than its factorization.

1645101305105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156356.

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 1645101305105 in words is "one trillion, six hundred forty-five billion, one hundred one million, three hundred five thousand, one hundred five".