106012166106 has 192 divisors, whose sum is σ = 273527331840. Its totient is φ = 27082621440.

The previous prime is 106012166059. The next prime is 106012166111. The reversal of 106012166106 is 601661210601.

It is a super-2 number, since 2×106012166106² (a number of 23 digits) contains 22 as substring.

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, 50795395 + ... + 50797481.

It is an arithmetic number, because the mean of its divisors is an integer number (1424621520).

Almost surely, 2^106012166106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106012166106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136763665920).

106012166106 is an abundant number, since it is smaller than the sum of its proper divisors (167515165734).

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

106012166106 is a wasteful number, since it uses less digits than its factorization.

106012166106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 106012166106 its reverse (601661210601), we get a palindrome (707673376707).

The spelling of 106012166106 in words is "one hundred six billion, twelve million, one hundred sixty-six thousand, one hundred six".