105695968 has 48 divisors (see below), whose sum is σ = 238623840. Its totient is φ = 45144576.

The previous prime is 105695959. The next prime is 105695969. The reversal of 105695968 is 869596501.

It is a super-2 number, since 2×105695968² = 22343275302914048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105695969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86530 + ... + 87742.

It is an arithmetic number, because the mean of its divisors is an integer number (4971330).

Almost surely, 2^105695968 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 105695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119311920).

105695968 is an abundant number, since it is smaller than the sum of its proper divisors (132927872).

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

105695968 is a wasteful number, since it uses less digits than its factorization.

105695968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 49.

The square root of 105695968 is about 10280.8544391991. The cubic root of 105695968 is about 472.8094413022.

The spelling of 105695968 in words is "one hundred five million, six hundred ninety-five thousand, nine hundred sixty-eight".