105896128 has 56 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 45993984.

The previous prime is 105896107. The next prime is 105896129. The reversal of 105896128 is 821698501.

It is a super-2 number, since 2×105896128² = 22427979850784768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105896129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10401 + ... + 17887.

It is an arithmetic number, because the mean of its divisors is an integer number (4279392).

Almost surely, 2^105896128 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 105896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

105896128 is an abundant number, since it is smaller than the sum of its proper divisors (133749824).

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

105896128 is a wasteful number, since it uses less digits than its factorization.

105896128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 105896128 is about 10290.5844343264. The cubic root of 105896128 is about 473.1077114662.

The spelling of 105896128 in words is "one hundred five million, eight hundred ninety-six thousand, one hundred twenty-eight".