105681696 has 24 divisors (see below), whose sum is σ = 277414704. Its totient is φ = 35227200.

The previous prime is 105681691. The next prime is 105681701. The reversal of 105681696 is 696186501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105681691) and next prime (105681701).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105681696² = 22337241738872832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105681691) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550330 + ... + 550521.

It is an arithmetic number, because the mean of its divisors is an integer number (11558946).

Almost surely, 2^105681696 is an apocalyptic number.

105681696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105681696 is an abundant number, since it is smaller than the sum of its proper divisors (171733008).

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

105681696 is a wasteful number, since it uses less digits than its factorization.

105681696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100864 (or 1100856 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105681696 is about 10280.1603100341. The cubic root of 105681696 is about 472.7881593801.

The spelling of 105681696 in words is "one hundred five million, six hundred eighty-one thousand, six hundred ninety-six".