105685164 has 108 divisors (see below), whose sum is σ = 299754000. Its totient is φ = 31344768.

The previous prime is 105685159. The next prime is 105685199. The reversal of 105685164 is 461586501.

It is a super-2 number, since 2×105685164² = 22338707779413792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176137 + ... + 176735.

It is an arithmetic number, because the mean of its divisors is an integer number (2775500).

Almost surely, 2^105685164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105685164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149877000).

105685164 is an abundant number, since it is smaller than the sum of its proper divisors (194068836).

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

105685164 is a wasteful number, since it uses less digits than its factorization.

105685164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 105685164 is about 10280.3289830628. The cubic root of 105685164 is about 472.7933309202.

The spelling of 105685164 in words is "one hundred five million, six hundred eighty-five thousand, one hundred sixty-four".