106505010505501 has 4 divisors (see below), whose sum is σ = 109102693688604. Its totient is φ = 103907327322400.

The previous prime is 106505010505499. The next prime is 106505010505511. The reversal of 106505010505501 is 105505010505601.

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 9926217348100 + 96578793157401 = 3150590^2 + 9827451^2 .

It is a cyclic number.

It is not a de Polignac number, because 106505010505501 - 2¹ = 106505010505499 is a prime.

It is a super-2 number, since 2×106505010505501² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106505010505511) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1298841591490 + ... + 1298841591571.

It is an arithmetic number, because the mean of its divisors is an integer number (27275673422151).

Almost surely, 2^{106505010505501} is an apocalyptic number.

It is an amenable number.

106505010505501 is a deficient number, since it is larger than the sum of its proper divisors (2597683183103).

106505010505501 is an equidigital number, since it uses as much as digits as its factorization.

106505010505501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597683183102.

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 106505010505501 in words is "one hundred six trillion, five hundred five billion, ten million, five hundred five thousand, five hundred one".