166105742024420 has 192 divisors, whose sum is σ = 387921653425152. Its totient is φ = 59235411456000.

The previous prime is 166105742024419. The next prime is 166105742024503. The reversal of 166105742024420 is 24420247501661.

It is a happy number.

It is a super-2 number, since 2×166105742024420² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8209634624 + ... + 8209654856.

It is an arithmetic number, because the mean of its divisors is an integer number (2020425278256).

Almost surely, 2^{166105742024420} is an apocalyptic number.

166105742024420 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 166105742024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193960826712576).

166105742024420 is an abundant number, since it is smaller than the sum of its proper divisors (221815911400732).

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

166105742024420 is a wasteful number, since it uses less digits than its factorization.

166105742024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22102 (or 22100 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 166105742024420 in words is "one hundred sixty-six trillion, one hundred five billion, seven hundred forty-two million, twenty-four thousand, four hundred twenty".