105198500 has 96 divisors (see below), whose sum is σ = 259144704. Its totient is φ = 36960000.

The previous prime is 105198491. The next prime is 105198521. The reversal of 105198500 is 5891501.

It is a super-2 number, since 2×105198500² = 22133448804500000, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170192 + ... + 170808.

It is an arithmetic number, because the mean of its divisors is an integer number (2699424).

Almost surely, 2^105198500 is an apocalyptic number.

105198500 is a gapful number since it is divisible by the number (10) 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 105198500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129572352).

105198500 is an abundant number, since it is smaller than the sum of its proper divisors (153946204).

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

105198500 is a wasteful number, since it uses less digits than its factorization.

105198500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 29.

The square root of 105198500 is about 10256.6320008081. The cubic root of 105198500 is about 472.0665004933.

The spelling of 105198500 in words is "one hundred five million, one hundred ninety-eight thousand, five hundred".