105434180 has 48 divisors (see below), whose sum is σ = 226800000. Its totient is φ = 41158656.

The previous prime is 105434179. The next prime is 105434213. The reversal of 105434180 is 81434501.

It is a super-2 number, since 2×105434180² = 22232732624544800, which contains 22 as substring.

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, 234596 + ... + 235044.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2^105434180 is an apocalyptic number.

105434180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105434180 is an abundant number, since it is smaller than the sum of its proper divisors (121365820).

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

105434180 is a wasteful number, since it uses less digits than its factorization.

105434180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105434180 is about 10268.1147247194. The cubic root of 105434180 is about 472.4187667709.

Adding to 105434180 its reverse (81434501), we get a palindrome (186868681).

The spelling of 105434180 in words is "one hundred five million, four hundred thirty-four thousand, one hundred eighty".