105041688 has 32 divisors (see below), whose sum is σ = 265317360. Its totient is φ = 34652160.

The previous prime is 105041687. The next prime is 105041689. The reversal of 105041688 is 886140501.

It is an interprime number because it is at equal distance from previous prime (105041687) and next prime (105041689).

It is a super-2 number, since 2×105041688² = 22067512435778688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105041681) 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, 20233 + ... + 24888.

Almost surely, 2^105041688 is an apocalyptic number.

It is an amenable number.

105041688 is an abundant number, since it is smaller than the sum of its proper divisors (160275672).

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

105041688 is a wasteful number, since it uses less digits than its factorization.

105041688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45227 (or 45223 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 105041688 is about 10248.9847302062. The cubic root of 105041688 is about 471.8318250807.

The spelling of 105041688 in words is "one hundred five million, forty-one thousand, six hundred eighty-eight".