105106160 has 20 divisors (see below), whose sum is σ = 244372008. Its totient is φ = 42042432.

The previous prime is 105106123. The next prime is 105106163. The reversal of 105106160 is 61601501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105106160² = 22094609739891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105106163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656834 + ... + 656993.

Almost surely, 2^105106160 is an apocalyptic number.

105106160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105106160 is an abundant number, since it is smaller than the sum of its proper divisors (139265848).

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

105106160 is a wasteful number, since it uses less digits than its factorization.

105106160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313840 (or 1313834 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105106160 is about 10252.1295348820. The cubic root of 105106160 is about 471.9283382538.

Adding to 105106160 its reverse (61601501), we get a palindrome (166707661).

The spelling of 105106160 in words is "one hundred five million, one hundred six thousand, one hundred sixty".