106505000001649 has 4 divisors (see below), whose sum is σ = 112770000001764. Its totient is φ = 100240000001536.

The previous prime is 106505000001623. The next prime is 106505000001661. The reversal of 106505000001649 is 946100000505601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 91762164672049 + 14742835329600 = 9579257^2 + 3839640^2 .

It is a cyclic number.

It is not a de Polignac number, because 106505000001649 - 2⁴³ = 97708906979441 is a prime.

It is a super-2 number, since 2×106505000001649² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106505000001349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3132500000032 + ... + 3132500000065.

It is an arithmetic number, because the mean of its divisors is an integer number (28192500000441).

Almost surely, 2^{106505000001649} is an apocalyptic number.

It is an amenable number.

106505000001649 is a deficient number, since it is larger than the sum of its proper divisors (6265000000115).

106505000001649 is an equidigital number, since it uses as much as digits as its factorization.

106505000001649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265000000114.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 106505000001649 in words is "one hundred six trillion, five hundred five billion, one thousand, six hundred forty-nine".