105180730 has 16 divisors (see below), whose sum is σ = 189444744. Its totient is φ = 42045760.

The previous prime is 105180727. The next prime is 105180731. The reversal of 105180730 is 37081501.

It can be written as a sum of positive squares in 4 ways, for example, as 104101209 + 1079521 = 10203^2 + 1039^2 .

It is a super-2 number, since 2×105180730² = 22125971926665800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105180695 and 105180704.

It is not an unprimeable number, because it can be changed into a prime (105180731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24204 + ... + 28216.

Almost surely, 2^105180730 is an apocalyptic number.

105180730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105180730 is a deficient number, since it is larger than the sum of its proper divisors (84264014).

105180730 is a wasteful number, since it uses less digits than its factorization.

105180730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 105180730 is about 10255.7656954515. The cubic root of 105180730 is about 472.0399187008.

The spelling of 105180730 in words is "one hundred five million, one hundred eighty thousand, seven hundred thirty".