105045330 has 48 divisors (see below), whose sum is σ = 273006720. Its totient is φ = 25856064.

The previous prime is 105045323. The next prime is 105045349. The reversal of 105045330 is 33540501.

It is a super-2 number, since 2×105045330² = 22069042709617800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105045297 and 105045306.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5290 + ... + 15429.

It is an arithmetic number, because the mean of its divisors is an integer number (5687640).

Almost surely, 2^105045330 is an apocalyptic number.

105045330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105045330 is an abundant number, since it is smaller than the sum of its proper divisors (167961390).

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

105045330 is a wasteful number, since it uses less digits than its factorization.

105045330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20755 (or 20742 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 105045330 is about 10249.1624048017. The cubic root of 105045330 is about 471.8372781272.

Adding to 105045330 its reverse (33540501), we get a palindrome (138585831).

The spelling of 105045330 in words is "one hundred five million, forty-five thousand, three hundred thirty".