105618882 has 32 divisors (see below), whose sum is σ = 215123328. Its totient is φ = 34563456.

The previous prime is 105618871. The next prime is 105618883. The reversal of 105618882 is 288816501.

It is a super-2 number, since 2×105618882² = 22310696469859848, 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 105618882.

It is not an unprimeable number, because it can be changed into a prime (105618883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127923 + ... + 128745.

It is an arithmetic number, because the mean of its divisors is an integer number (6722604).

Almost surely, 2^105618882 is an apocalyptic number.

105618882 is an abundant number, since it is smaller than the sum of its proper divisors (109504446).

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

105618882 is a wasteful number, since it uses less digits than its factorization.

105618882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194.

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 105618882 is about 10277.1047479336. The cubic root of 105618882 is about 472.6944704938.

The spelling of 105618882 in words is "one hundred five million, six hundred eighteen thousand, eight hundred eighty-two".