105325180 has 24 divisors (see below), whose sum is σ = 221391072. Its totient is φ = 42090432.

The previous prime is 105325141. The next prime is 105325201. The reversal of 105325180 is 81523501.

It is a happy number.

It is a super-2 number, since 2×105325180² = 22186787084064800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29154 + ... + 32566.

It is an arithmetic number, because the mean of its divisors is an integer number (9224628).

Almost surely, 2^105325180 is an apocalyptic number.

105325180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105325180 is an abundant number, since it is smaller than the sum of its proper divisors (116065892).

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

105325180 is a wasteful number, since it uses less digits than its factorization.

105325180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 105325180 is about 10262.8056592727. The cubic root of 105325180 is about 472.2559119268.

Adding to 105325180 its reverse (81523501), we get a palindrome (186848681).

The spelling of 105325180 in words is "one hundred five million, three hundred twenty-five thousand, one hundred eighty".