105618828 has 48 divisors (see below), whose sum is σ = 285062400. Its totient is φ = 29811264.

The previous prime is 105618827. The next prime is 105618847. The reversal of 105618828 is 828816501.

105618828 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105618828² = 22310673656187168, which contains 22 as substring.

105618828 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (105618827) 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, 603 + ... + 14546.

It is an arithmetic number, because the mean of its divisors is an integer number (5938800).

Almost surely, 2^105618828 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 105618828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142531200).

105618828 is an abundant number, since it is smaller than the sum of its proper divisors (179443572).

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

105618828 is a wasteful number, since it uses less digits than its factorization.

105618828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15246 (or 15244 counting only the distinct ones).

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

The square root of 105618828 is about 10277.1021207342. The cubic root of 105618828 is about 472.6943899353.

The spelling of 105618828 in words is "one hundred five million, six hundred eighteen thousand, eight hundred twenty-eight".