105684630 has 32 divisors (see below), whose sum is σ = 254466144. Its totient is φ = 28091136.

The previous prime is 105684589. The next prime is 105684653. The reversal of 105684630 is 36486501.

It is a super-2 number, since 2×105684630² = 22338482036473800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105684591 and 105684600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3954 + ... + 15066.

It is an arithmetic number, because the mean of its divisors is an integer number (7952067).

Almost surely, 2^105684630 is an apocalyptic number.

105684630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105684630 is an abundant number, since it is smaller than the sum of its proper divisors (148781514).

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

105684630 is a wasteful number, since it uses less digits than its factorization.

105684630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 105684630 is about 10280.3030110985. The cubic root of 105684630 is about 472.7925346178.

The spelling of 105684630 in words is "one hundred five million, six hundred eighty-four thousand, six hundred thirty".