106223558166 has 288 divisors, whose sum is σ = 280389301920. Its totient is φ = 29682892800.

The previous prime is 106223558123. The next prime is 106223558209. The reversal of 106223558166 is 661855322601.

106223558166 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 2 + 3 + 5 + 581 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (106223558123) and next prime (106223558209).

It is a super-2 number, since 2×106223558166² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413321110 + ... + 413321366.

It is an arithmetic number, because the mean of its divisors is an integer number (973573965).

Almost surely, 2^106223558166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106223558166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140194650960).

106223558166 is an abundant number, since it is smaller than the sum of its proper divisors (174165743754).

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

106223558166 is a wasteful number, since it uses less digits than its factorization.

106223558166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 106223558166 in words is "one hundred six billion, two hundred twenty-three million, five hundred fifty-eight thousand, one hundred sixty-six".