106005005060113 has 4 divisors (see below), whose sum is σ = 106066173558708. Its totient is φ = 105943836561520.

The previous prime is 106005005060111. The next prime is 106005005060137. The reversal of 106005005060113 is 311060500500601.

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 29937180934144 + 76067824125969 = 5471488^2 + 8721687^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005005060113 - 2¹ = 106005005060111 is a prime.

It is a super-2 number, since 2×106005005060113² (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 (106005005060111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30584246698 + ... + 30584250163.

It is an arithmetic number, because the mean of its divisors is an integer number (26516543389677).

Almost surely, 2^{106005005060113} is an apocalyptic number.

It is an amenable number.

106005005060113 is a deficient number, since it is larger than the sum of its proper divisors (61168498595).

106005005060113 is an equidigital number, since it uses as much as digits as its factorization.

106005005060113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61168498594.

The product of its (nonzero) digits is 2700, while the sum is 28.

Adding to 106005005060113 its reverse (311060500500601), we get a palindrome (417065505560714).

The spelling of 106005005060113 in words is "one hundred six trillion, five billion, five million, sixty thousand, one hundred thirteen".