106336526166 has 96 divisors (see below), whose sum is σ = 259385634720. Its totient is φ = 32270524416.

The previous prime is 106336526137. The next prime is 106336526171. The reversal of 106336526166 is 661625633601.

106336526166 is a `hidden beast` number, since 1 + 0 + 63 + 3 + 6 + 526 + 1 + 66 = 666.

It is a super-2 number, since 2×106336526166² (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 47 ways as a sum of consecutive naturals, for example, 586390 + ... + 746006.

It is an arithmetic number, because the mean of its divisors is an integer number (2701933695).

Almost surely, 2^106336526166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106336526166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129692817360).

106336526166 is an abundant number, since it is smaller than the sum of its proper divisors (153049108554).

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

106336526166 is a wasteful number, since it uses less digits than its factorization.

106336526166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159727 (or 159708 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 106336526166 in words is "one hundred six billion, three hundred thirty-six million, five hundred twenty-six thousand, one hundred sixty-six".