106616162169 has 32 divisors (see below), whose sum is σ = 172330260480. Its totient is φ = 64607864400.

The previous prime is 106616162143. The next prime is 106616162197. The reversal of 106616162169 is 961261616601.

106616162169 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 616 + 21 + 6 + 9 = 666.

It is not a de Polignac number, because 106616162169 - 2¹¹ = 106616160121 is a prime.

It is a super-2 number, since 2×106616162169² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106616162119) 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 31 ways as a sum of consecutive naturals, for example, 3140524 + ... + 3174290.

It is an arithmetic number, because the mean of its divisors is an integer number (5385320640).

Almost surely, 2^106616162169 is an apocalyptic number.

It is an amenable number.

106616162169 is a deficient number, since it is larger than the sum of its proper divisors (65714098311).

106616162169 is a wasteful number, since it uses less digits than its factorization.

106616162169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44418 (or 44412 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 106616162169 in words is "one hundred six billion, six hundred sixteen million, one hundred sixty-two thousand, one hundred sixty-nine".