105468930 has 96 divisors (see below), whose sum is σ = 317326464. Its totient is φ = 23804928.

The previous prime is 105468919. The next prime is 105468949. The reversal of 105468930 is 39864501.

105468930 is a `hidden beast` number, since 1 + 0 + 546 + 89 + 30 = 666.

It is a super-2 number, since 2×105468930² = 22247390390689800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51282 + ... + 53298.

It is an arithmetic number, because the mean of its divisors is an integer number (3305484).

Almost surely, 2^105468930 is an apocalyptic number.

105468930 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 105468930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158663232).

105468930 is an abundant number, since it is smaller than the sum of its proper divisors (211857534).

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

105468930 is a wasteful number, since it uses less digits than its factorization.

105468930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105468930 is about 10269.8067167790. The cubic root of 105468930 is about 472.4706624936.

The spelling of 105468930 in words is "one hundred five million, four hundred sixty-eight thousand, nine hundred thirty".