105198330 has 32 divisors (see below), whose sum is σ = 253108800. Its totient is φ = 27982592.

The previous prime is 105198319. The next prime is 105198337. The reversal of 105198330 is 33891501.

It is a happy number.

It is a super-2 number, since 2×105198330² = 22133377269577800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105198337) 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, 8386 + ... + 16754.

It is an arithmetic number, because the mean of its divisors is an integer number (7909650).

Almost surely, 2^105198330 is an apocalyptic number.

105198330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105198330 is an abundant number, since it is smaller than the sum of its proper divisors (147910470).

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

105198330 is a wasteful number, since it uses less digits than its factorization.

105198330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 105198330 is about 10256.6237134839. The cubic root of 105198330 is about 472.0662462078.

The spelling of 105198330 in words is "one hundred five million, one hundred ninety-eight thousand, three hundred thirty".