105468180 has 48 divisors (see below), whose sum is σ = 295963584. Its totient is φ = 28062720.

The previous prime is 105468163. The next prime is 105468191. The reversal of 105468180 is 81864501.

It is a super-2 number, since 2×105468180² = 22247073985024800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 29700 + ... + 33060.

It is an arithmetic number, because the mean of its divisors is an integer number (6165908).

Almost surely, 2^105468180 is an apocalyptic number.

105468180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105468180 is an abundant number, since it is smaller than the sum of its proper divisors (190495404).

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

105468180 is a wasteful number, since it uses less digits than its factorization.

105468180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 105468180 is about 10269.7702019081. The cubic root of 105468180 is about 472.4695425624.

The spelling of 105468180 in words is "one hundred five million, four hundred sixty-eight thousand, one hundred eighty".