166105120 has 24 divisors (see below), whose sum is σ = 392423724. Its totient is φ = 66441984.

The previous prime is 166105117. The next prime is 166105133. The reversal of 166105120 is 21501661.

It can be written as a sum of positive squares in 2 ways, for example, as 164557584 + 1547536 = 12828^2 + 1244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 166105091 and 166105100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518919 + ... + 519238.

Almost surely, 2^166105120 is an apocalyptic number.

166105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166105120 is an abundant number, since it is smaller than the sum of its proper divisors (226318604).

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

166105120 is a wasteful number, since it uses less digits than its factorization.

166105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038172 (or 1038164 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 166105120 is about 12888.1775282621. The cubic root of 166105120 is about 549.7024506254.

Adding to 166105120 its reverse (21501661), we get a palindrome (187606781).

The spelling of 166105120 in words is "one hundred sixty-six million, one hundred five thousand, one hundred twenty".