105107180 has 12 divisors (see below), whose sum is σ = 220725120. Its totient is φ = 42042864.

The previous prime is 105107159. The next prime is 105107201. The reversal of 105107180 is 81701501.

It is an interprime number because it is at equal distance from previous prime (105107159) and next prime (105107201).

It is a super-2 number, since 2×105107180² = 22095038575104800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2627660 + ... + 2627699.

It is an arithmetic number, because the mean of its divisors is an integer number (18393760).

Almost surely, 2^105107180 is an apocalyptic number.

105107180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105107180 is an abundant number, since it is smaller than the sum of its proper divisors (115617940).

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

105107180 is a wasteful number, since it uses less digits than its factorization.

105107180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255368 (or 5255366 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 23.

The square root of 105107180 is about 10252.1792805237. The cubic root of 105107180 is about 471.9298648543.

Adding to 105107180 its reverse (81701501), we get a palindrome (186808681).

The spelling of 105107180 in words is "one hundred five million, one hundred seven thousand, one hundred eighty".