105228816 has 160 divisors (see below), whose sum is σ = 344549376. Its totient is φ = 26880000.

The previous prime is 105228757. The next prime is 105228833. The reversal of 105228816 is 618822501.

It is a super-2 number, since 2×105228816² = 22146207433523712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 262216 + ... + 262616.

Almost surely, 2^105228816 is an apocalyptic number.

105228816 is a gapful number since it is divisible by the number (16) 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 105228816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172274688).

105228816 is an abundant number, since it is smaller than the sum of its proper divisors (239320560).

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

105228816 is a wasteful number, since it uses less digits than its factorization.

105228816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 105228816 is about 10258.1097673987. The cubic root of 105228816 is about 472.1118426909. Note that the first 3 decimals are identical.

The spelling of 105228816 in words is "one hundred five million, two hundred twenty-eight thousand, eight hundred sixteen".