105685820 has 48 divisors (see below), whose sum is σ = 230216448. Its totient is φ = 40711680.

The previous prime is 105685817. The next prime is 105685837. The reversal of 105685820 is 28586501.

It is a happy number.

It is a super-2 number, since 2×105685820² = 22338985098144800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231032 + ... + 231488.

It is an arithmetic number, because the mean of its divisors is an integer number (4796176).

Almost surely, 2^105685820 is an apocalyptic number.

105685820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105685820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115108224).

105685820 is an abundant number, since it is smaller than the sum of its proper divisors (124530628).

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

105685820 is a wasteful number, since it uses less digits than its factorization.

105685820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 105685820 is about 10280.3608886070. The cubic root of 105685820 is about 472.7943091458.

The spelling of 105685820 in words is "one hundred five million, six hundred eighty-five thousand, eight hundred twenty".