105040688 has 40 divisors (see below), whose sum is σ = 220767120. Its totient is φ = 48220160.

The previous prime is 105040687. The next prime is 105040703. The reversal of 105040688 is 886040501.

It is a super-2 number, since 2×105040688² = 22067092271026688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105040681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6443 + ... + 15861.

It is an arithmetic number, because the mean of its divisors is an integer number (5519178).

Almost surely, 2^105040688 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 105040688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110383560).

105040688 is an abundant number, since it is smaller than the sum of its proper divisors (115726432).

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

105040688 is a wasteful number, since it uses less digits than its factorization.

105040688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 105040688 is about 10248.9359447701. The cubic root of 105040688 is about 471.8303277916.

The spelling of 105040688 in words is "one hundred five million, forty thousand, six hundred eighty-eight".