105806532 has 96 divisors (see below), whose sum is σ = 285288192. Its totient is φ = 30260736.

The previous prime is 105806501. The next prime is 105806557. The reversal of 105806532 is 235608501.

It is a super-2 number, since 2×105806532² = 22390044427734048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105806532.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132358 + ... + 133154.

It is an arithmetic number, because the mean of its divisors is an integer number (2971752).

Almost surely, 2^105806532 is an apocalyptic number.

105806532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105806532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142644096).

105806532 is an abundant number, since it is smaller than the sum of its proper divisors (179481660).

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

105806532 is a wasteful number, since it uses less digits than its factorization.

105806532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105806532 is about 10286.2302132511. The cubic root of 105806532 is about 472.9742457152.

The spelling of 105806532 in words is "one hundred five million, eight hundred six thousand, five hundred thirty-two".