102198660 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 25779072.

The previous prime is 102198641. The next prime is 102198667. The reversal of 102198660 is 66891201.

It is a super-2 number, since 2×102198660² = 20889132211591200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102198667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141781 + ... + 142499.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^102198660 is an apocalyptic number.

102198660 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 102198660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

102198660 is an abundant number, since it is smaller than the sum of its proper divisors (199717500).

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

102198660 is a wasteful number, since it uses less digits than its factorization.

102198660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 102198660 is about 10109.3352897211. The cubic root of 102198660 is about 467.5360110287.

It can be divided in two parts, 1021 and 98660, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 102198660 in words is "one hundred two million, one hundred ninety-eight thousand, six hundred sixty".