105286688 has 48 divisors (see below), whose sum is σ = 228709656. Its totient is φ = 47400960.

The previous prime is 105286651. The next prime is 105286691. The reversal of 105286688 is 886682501.

It can be written as a sum of positive squares in 4 ways, for example, as 12588304 + 92698384 = 3548^2 + 9628^2 .

It is a super-2 number, since 2×105286688² = 22170573340018688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13970 + ... + 20142.

Almost surely, 2^105286688 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 105286688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114354828).

105286688 is an abundant number, since it is smaller than the sum of its proper divisors (123422968).

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

105286688 is a wasteful number, since it uses less digits than its factorization.

105286688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 105286688 is about 10260.9301722602. The cubic root of 105286688 is about 472.1983749116.

The spelling of 105286688 in words is "one hundred five million, two hundred eighty-six thousand, six hundred eighty-eight".