106165166000 has 80 divisors (see below), whose sum is σ = 256794114720. Its totient is φ = 42451718400.

The previous prime is 106165165973. The next prime is 106165166017. The reversal of 106165166000 is 661561601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106165166000² (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 15 ways as a sum of consecutive naturals, for example, 7470902 + ... + 7485098.

It is an arithmetic number, because the mean of its divisors is an integer number (3209926434).

Almost surely, 2^106165166000 is an apocalyptic number.

106165166000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106165166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128397057360).

106165166000 is an abundant number, since it is smaller than the sum of its proper divisors (150628948720).

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

106165166000 is a wasteful number, since it uses less digits than its factorization.

106165166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17959 (or 17943 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 106165166000 in words is "one hundred six billion, one hundred sixty-five million, one hundred sixty-six thousand".