106106166045 has 96 divisors (see below), whose sum is σ = 214660368000. Its totient is φ = 47938521600.

The previous prime is 106106166031. The next prime is 106106166071. The reversal of 106106166045 is 540661601601.

It is a happy number.

It is not a de Polignac number, because 106106166045 - 2⁶ = 106106165981 is a prime.

It is a super-2 number, since 2×106106166045² (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 95 ways as a sum of consecutive naturals, for example, 481231 + ... + 666179.

It is an arithmetic number, because the mean of its divisors is an integer number (2236045500).

Almost surely, 2^106106166045 is an apocalyptic number.

106106166045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106106166045 is an abundant number, since it is smaller than the sum of its proper divisors (108554201955).

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

106106166045 is a wasteful number, since it uses less digits than its factorization.

106106166045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185051 (or 185048 counting only the distinct ones).

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

Adding to 106106166045 its reverse (540661601601), we get a palindrome (646767767646).

The spelling of 106106166045 in words is "one hundred six billion, one hundred six million, one hundred sixty-six thousand, forty-five".