106005011605 has 8 divisors (see below), whose sum is σ = 127211290200. Its totient is φ = 84800491776.

The previous prime is 106005011599. The next prime is 106005011621. The reversal of 106005011605 is 506110500601.

It can be written as a sum of positive squares in 4 ways, for example, as 18612053476 + 87392958129 = 136426^2 + 295623^2 .

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 106005011605 - 2⁵ = 106005011573 is a prime.

It is a super-2 number, since 2×106005011605² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106005011605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303240 + ... + 551329.

It is an arithmetic number, because the mean of its divisors is an integer number (15901411275).

Almost surely, 2^106005011605 is an apocalyptic number.

It is an amenable number.

106005011605 is a deficient number, since it is larger than the sum of its proper divisors (21206278595).

106005011605 is an equidigital number, since it uses as much as digits as its factorization.

106005011605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879383.

The product of its (nonzero) digits is 900, while the sum is 25.

It can be divided in two parts, 10600 and 5011605, that added together give a palindrome (5022205).

The spelling of 106005011605 in words is "one hundred six billion, five million, eleven thousand, six hundred five".