105018130 has 48 divisors (see below), whose sum is σ = 228219840. Its totient is φ = 33989760.

The previous prime is 105018127. The next prime is 105018203. The reversal of 105018130 is 31810501.

It is a super-2 number, since 2×105018130² = 22057615257393800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 105018098 and 105018107.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 373590 + ... + 373870.

It is an arithmetic number, because the mean of its divisors is an integer number (4754580).

Almost surely, 2^105018130 is an apocalyptic number.

105018130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105018130 is an abundant number, since it is smaller than the sum of its proper divisors (123201710).

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

105018130 is an equidigital number, since it uses as much as digits as its factorization.

105018130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 105018130 is about 10247.8353811915. The cubic root of 105018130 is about 471.7965494188.

Adding to 105018130 its reverse (31810501), we get a palindrome (136828631).

The spelling of 105018130 in words is "one hundred five million, eighteen thousand, one hundred thirty".