105854130 has 96 divisors (see below), whose sum is σ = 293005440. Its totient is φ = 26438400.

The previous prime is 105854101. The next prime is 105854141. The reversal of 105854130 is 31458501.

105854130 is a `hidden beast` number, since 10 + 585 + 41 + 30 = 666.

It is a super-2 number, since 2×105854130² = 22410193676113800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105854094 and 105854103.

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, 175830 + ... + 176430.

It is an arithmetic number, because the mean of its divisors is an integer number (3052140).

Almost surely, 2^105854130 is an apocalyptic number.

105854130 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 105854130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146502720).

105854130 is an abundant number, since it is smaller than the sum of its proper divisors (187151310).

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

105854130 is a wasteful number, since it uses less digits than its factorization.

105854130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105854130 is about 10288.5436287164. The cubic root of 105854130 is about 473.0451589588.

The spelling of 105854130 in words is "one hundred five million, eight hundred fifty-four thousand, one hundred thirty".