105301830 has 32 divisors (see below), whose sum is σ = 253029600. Its totient is φ = 28046592.

The previous prime is 105301789. The next prime is 105301837. The reversal of 105301830 is 38103501.

It is a happy number.

It is a super-2 number, since 2×105301830² = 22176950802697800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105301797 and 105301806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105301837) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32316 + ... + 35424.

It is an arithmetic number, because the mean of its divisors is an integer number (7907175).

Almost surely, 2^105301830 is an apocalyptic number.

105301830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105301830 is an abundant number, since it is smaller than the sum of its proper divisors (147727770).

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

105301830 is a wasteful number, since it uses less digits than its factorization.

105301830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105301830 is about 10261.6679930701. The cubic root of 105301830 is about 472.2210105210.

The spelling of 105301830 in words is "one hundred five million, three hundred one thousand, eight hundred thirty".