105099828 has 48 divisors (see below), whose sum is σ = 257900160. Its totient is φ = 33264000.

The previous prime is 105099823. The next prime is 105099877. The reversal of 105099828 is 828990501.

It is a happy number.

It is a super-2 number, since 2×105099828² = 22091947691259168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105099828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105099821) 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, 18753 + ... + 23703.

It is an arithmetic number, because the mean of its divisors is an integer number (5372920).

Almost surely, 2^105099828 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 105099828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128950080).

105099828 is an abundant number, since it is smaller than the sum of its proper divisors (152800332).

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

105099828 is a wasteful number, since it uses less digits than its factorization.

105099828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 105099828 is about 10251.8207163411. The cubic root of 105099828 is about 471.9188611365.

The spelling of 105099828 in words is "one hundred five million, ninety-nine thousand, eight hundred twenty-eight".