105933828 has 96 divisors (see below), whose sum is σ = 331914240. Its totient is φ = 25395840.

The previous prime is 105933799. The next prime is 105933833. The reversal of 105933828 is 828339501.

It is a super-2 number, since 2×105933828² = 22443951829467168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 7603 + ... + 16421.

It is an arithmetic number, because the mean of its divisors is an integer number (3457440).

Almost surely, 2^105933828 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 105933828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957120).

105933828 is an abundant number, since it is smaller than the sum of its proper divisors (225980412).

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

105933828 is a wasteful number, since it uses less digits than its factorization.

105933828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 105933828 is about 10292.4160428929. The cubic root of 105933828 is about 473.1638483772.

The spelling of 105933828 in words is "one hundred five million, nine hundred thirty-three thousand, eight hundred twenty-eight".