106616016005 has 16 divisors (see below), whose sum is σ = 132363143280. Its totient is φ = 82344073728.

The previous prime is 106616015993. The next prime is 106616016061. The reversal of 106616016005 is 500610616601.

It can be written as a sum of positive squares in 8 ways, for example, as 27478564 + 106588537441 = 5242^2 + 326479^2 .

It is a cyclic number.

It is not a de Polignac number, because 106616016005 - 2⁶ = 106616015941 is a prime.

It is a super-2 number, since 2×106616016005² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932179 + ... + 1986591.

It is an arithmetic number, because the mean of its divisors is an integer number (8272696455).

Almost surely, 2^106616016005 is an apocalyptic number.

It is an amenable number.

106616016005 is a deficient number, since it is larger than the sum of its proper divisors (25747127275).

106616016005 is a wasteful number, since it uses less digits than its factorization.

106616016005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67960.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 106616016005 in words is "one hundred six billion, six hundred sixteen million, sixteen thousand, five".