105968988 has 36 divisors (see below), whose sum is σ = 268705528. Its totient is φ = 35212320.

The previous prime is 105968983. The next prime is 105969001. The reversal of 105968988 is 889869501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105968988² = 22458852835488288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105968983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7470 + ... + 16362.

Almost surely, 2^105968988 is an apocalyptic number.

105968988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105968988 is an abundant number, since it is smaller than the sum of its proper divisors (162736540).

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

105968988 is a wasteful number, since it uses less digits than its factorization.

105968988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 105968988 is about 10294.1239549561. The cubic root of 105968988 is about 473.2161911179.

The spelling of 105968988 in words is "one hundred five million, nine hundred sixty-eight thousand, nine hundred eighty-eight".