105681000 has 64 divisors (see below), whose sum is σ = 329734080. Its totient is φ = 28180800.

The previous prime is 105680989. The next prime is 105681001. The reversal of 105681000 is 186501.

It is a super-2 number, since 2×105681000² = 22336947522000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105681001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14614 + ... + 20613.

It is an arithmetic number, because the mean of its divisors is an integer number (5152095).

Almost surely, 2^105681000 is an apocalyptic number.

105681000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105681000 is an abundant number, since it is smaller than the sum of its proper divisors (224053080).

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

105681000 is a wasteful number, since it uses less digits than its factorization.

105681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35251 (or 35237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105681000 is about 10280.1264583662. The cubic root of 105681000 is about 472.7871214795.

The spelling of 105681000 in words is "one hundred five million, six hundred eighty-one thousand".