105030198 has 96 divisors (see below), whose sum is σ = 287816256. Its totient is φ = 26936064.

The previous prime is 105030193. The next prime is 105030221. The reversal of 105030198 is 891030501.

It is a super-2 number, since 2×105030198² = 22062684983838408, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105030193) 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 47 ways as a sum of consecutive naturals, for example, 59740 + ... + 61472.

It is an arithmetic number, because the mean of its divisors is an integer number (2998086).

Almost surely, 2^105030198 is an apocalyptic number.

105030198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105030198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143908128).

105030198 is an abundant number, since it is smaller than the sum of its proper divisors (182786058).

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

105030198 is a wasteful number, since it uses less digits than its factorization.

105030198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105030198 is about 10248.4241715495. The cubic root of 105030198 is about 471.8146206562.

Adding to 105030198 its reverse (891030501), we get a palindrome (996060699).

The spelling of 105030198 in words is "one hundred five million, thirty thousand, one hundred ninety-eight".