105686334 has 96 divisors (see below), whose sum is σ = 261817920. Its totient is φ = 30564864.

The previous prime is 105686327. The next prime is 105686381. The reversal of 105686334 is 433686501.

105686334 is a `hidden beast` number, since 1 + 0 + 568 + 63 + 34 = 666.

It is a super-2 number, since 2×105686334² = 22339202388719112, which contains 22 as substring.

It is a congruent 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, 392752 + ... + 393020.

It is an arithmetic number, because the mean of its divisors is an integer number (2727270).

Almost surely, 2^105686334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105686334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130908960).

105686334 is an abundant number, since it is smaller than the sum of its proper divisors (156131586).

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

105686334 is a wasteful number, since it uses less digits than its factorization.

105686334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 105686334 is about 10280.3858876990. The cubic root of 105686334 is about 472.7950756184.

The spelling of 105686334 in words is "one hundred five million, six hundred eighty-six thousand, three hundred thirty-four".