105232180 has 24 divisors (see below), whose sum is σ = 226128672. Its totient is φ = 41113632.

The previous prime is 105232151. The next prime is 105232207. The reversal of 105232180 is 81232501.

It is a super-2 number, since 2×105232180² = 22147623415104800, which 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 7 ways as a sum of consecutive naturals, for example, 60322 + ... + 62041.

It is an arithmetic number, because the mean of its divisors is an integer number (9422028).

Almost surely, 2^105232180 is an apocalyptic number.

105232180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105232180 is an abundant number, since it is smaller than the sum of its proper divisors (120896492).

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

105232180 is a wasteful number, since it uses less digits than its factorization.

105232180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122415 (or 122413 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105232180 is about 10258.2737339184. The cubic root of 105232180 is about 472.1168735287.

Adding to 105232180 its reverse (81232501), we get a palindrome (186464681).

The spelling of 105232180 in words is "one hundred five million, two hundred thirty-two thousand, one hundred eighty".