105345030 has 64 divisors (see below), whose sum is σ = 290055168. Its totient is φ = 23986560.

The previous prime is 105345029. The next prime is 105345047. The reversal of 105345030 is 30543501.

It is a super-2 number, since 2×105345030² = 22195150691401800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 105344988 and 105345006.

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 31 ways as a sum of consecutive naturals, for example, 64504 + ... + 66116.

It is an arithmetic number, because the mean of its divisors is an integer number (4532112).

Almost surely, 2^105345030 is an apocalyptic number.

105345030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105345030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145027584).

105345030 is an abundant number, since it is smaller than the sum of its proper divisors (184710138).

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

105345030 is a wasteful number, since it uses less digits than its factorization.

105345030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941.

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

The square root of 105345030 is about 10263.7726981846. The cubic root of 105345030 is about 472.2855778022.

Adding to 105345030 its reverse (30543501), we get a palindrome (135888531).

The spelling of 105345030 in words is "one hundred five million, three hundred forty-five thousand, thirty".