105186730 has 64 divisors (see below), whose sum is σ = 214897536. Its totient is φ = 36736000.

The previous prime is 105186727. The next prime is 105186733. The reversal of 105186730 is 37681501.

It is an interprime number because it is at equal distance from previous prime (105186727) and next prime (105186733).

It is a super-2 number, since 2×105186730² = 22128496336185800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105186692 and 105186701.

It is not an unprimeable number, because it can be changed into a prime (105186733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374190 + ... + 374470.

It is an arithmetic number, because the mean of its divisors is an integer number (3357774).

Almost surely, 2^105186730 is an apocalyptic number.

105186730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105186730 is an abundant number, since it is smaller than the sum of its proper divisors (109710806).

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

105186730 is a wasteful number, since it uses less digits than its factorization.

105186730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 105186730 is about 10256.0582096632. The cubic root of 105186730 is about 472.0488943172.

The spelling of 105186730 in words is "one hundred five million, one hundred eighty-six thousand, seven hundred thirty".