105218828 has 24 divisors (see below), whose sum is σ = 216325200. Its totient is φ = 44147520.

The previous prime is 105218809. The next prime is 105218843. The reversal of 105218828 is 828812501.

It is a super-2 number, since 2×105218828² = 22142003531387168, 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, 91403 + ... + 92546.

It is an arithmetic number, because the mean of its divisors is an integer number (9013550).

Almost surely, 2^105218828 is an apocalyptic number.

It is an amenable number.

105218828 is an abundant number, since it is smaller than the sum of its proper divisors (111106372).

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

105218828 is a wasteful number, since it uses less digits than its factorization.

105218828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183977 (or 183975 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 105218828 is about 10257.6229215155. The cubic root of 105218828 is about 472.0969050770.

The spelling of 105218828 in words is "one hundred five million, two hundred eighteen thousand, eight hundred twenty-eight".