105804930 has 128 divisors (see below), whose sum is σ = 319666176. Its totient is φ = 21772800.

The previous prime is 105804929. The next prime is 105804947. The reversal of 105804930 is 39408501.

It is a super-2 number, since 2×105804930² = 22389366424609800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376390 + ... + 376670.

It is an arithmetic number, because the mean of its divisors is an integer number (2497392).

Almost surely, 2^105804930 is an apocalyptic number.

105804930 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 105804930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159833088).

105804930 is an abundant number, since it is smaller than the sum of its proper divisors (213861246).

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

105804930 is a wasteful number, since it uses less digits than its factorization.

105804930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105804930 is about 10286.1523418623. The cubic root of 105804930 is about 472.9718586270.

The spelling of 105804930 in words is "one hundred five million, eight hundred four thousand, nine hundred thirty".