106106166054 has 64 divisors (see below), whose sum is σ = 272887142400. Its totient is φ = 29932291584.

The previous prime is 106106166031. The next prime is 106106166071. The reversal of 106106166054 is 450661601601.

It is a happy number.

It is a super-2 number, since 2×106106166054² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1746747 + ... + 1806470.

It is an arithmetic number, because the mean of its divisors is an integer number (4263861600).

Almost surely, 2^106106166054 is an apocalyptic number.

106106166054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106106166054 is an abundant number, since it is smaller than the sum of its proper divisors (166780976346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106106166054 is a wasteful number, since it uses less digits than its factorization.

106106166054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553314 (or 3553308 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 106106166054 its reverse (450661601601), we get a palindrome (556767767655).

The spelling of 106106166054 in words is "one hundred six billion, one hundred six million, one hundred sixty-six thousand, fifty-four".