105698328 has 64 divisors (see below), whose sum is σ = 272764800. Its totient is φ = 34110720.

The previous prime is 105698321. The next prime is 105698357. The reversal of 105698328 is 823896501.

It is a super-2 number, since 2×105698328² = 22344273083991168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105698328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105698321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160063 + ... + 160721.

It is an arithmetic number, because the mean of its divisors is an integer number (4261950).

Almost surely, 2^105698328 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 105698328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136382400).

105698328 is an abundant number, since it is smaller than the sum of its proper divisors (167066472).

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

105698328 is a wasteful number, since it uses less digits than its factorization.

105698328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 105698328 is about 10280.9692150108. The cubic root of 105698328 is about 472.8129602696.

The spelling of 105698328 in words is "one hundred five million, six hundred ninety-eight thousand, three hundred twenty-eight".