105828912 has 120 divisors (see below), whose sum is σ = 343755776. Its totient is φ = 29766528.

The previous prime is 105828881. The next prime is 105828923. The reversal of 105828912 is 219828501.

It is a super-2 number, since 2×105828912² = 22399517230207488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66753 + ... + 68319.

Almost surely, 2^105828912 is an apocalyptic number.

105828912 is a gapful number since it is divisible by the number (12) 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 105828912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171877888).

105828912 is an abundant number, since it is smaller than the sum of its proper divisors (237926864).

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

105828912 is a wasteful number, since it uses less digits than its factorization.

105828912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105828912 is about 10287.3180178315. The cubic root of 105828912 is about 473.0075909072.

The spelling of 105828912 in words is "one hundred five million, eight hundred twenty-eight thousand, nine hundred twelve".