105868588 has 48 divisors (see below), whose sum is σ = 225529920. Its totient is φ = 42448896.

The previous prime is 105868573. The next prime is 105868603. The reversal of 105868588 is 885868501.

It is an interprime number because it is at equal distance from previous prime (105868573) and next prime (105868603).

It is a super-2 number, since 2×105868588² = 22416315850227488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93208 + ... + 94336.

It is an arithmetic number, because the mean of its divisors is an integer number (4698540).

Almost surely, 2^105868588 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 105868588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112764960).

105868588 is an abundant number, since it is smaller than the sum of its proper divisors (119661332).

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

105868588 is a wasteful number, since it uses less digits than its factorization.

105868588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 49.

The square root of 105868588 is about 10289.2462308956. The cubic root of 105868588 is about 473.0666948074.

The spelling of 105868588 in words is "one hundred five million, eight hundred sixty-eight thousand, five hundred eighty-eight".