105995988 has 72 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 29543040.

The previous prime is 105995987. The next prime is 105995993. The reversal of 105995988 is 889599501.

It is a super-2 number, since 2×105995988² = 22470298944192288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105995987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5203 + ... + 15461.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^105995988 is an apocalyptic number.

105995988 is a gapful number since it is divisible by the number (18) 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 105995988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

105995988 is an abundant number, since it is smaller than the sum of its proper divisors (207713772).

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

105995988 is a wasteful number, since it uses less digits than its factorization.

105995988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10317 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The square root of 105995988 is about 10295.4352991993. The cubic root of 105995988 is about 473.2563781965.

The spelling of 105995988 in words is "one hundred five million, nine hundred ninety-five thousand, nine hundred eighty-eight".