102198810 has 96 divisors (see below), whose sum is σ = 293189760. Its totient is φ = 22716288.

The previous prime is 102198809. The next prime is 102198827. The reversal of 102198810 is 18891201.

It is a super-2 number, since 2×102198810² = 20889193530832200, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53451 + ... + 55329.

It is an arithmetic number, because the mean of its divisors is an integer number (3054060).

Almost surely, 2^102198810 is an apocalyptic number.

102198810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102198810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146594880).

102198810 is an abundant number, since it is smaller than the sum of its proper divisors (190990950).

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

102198810 is a wasteful number, since it uses less digits than its factorization.

102198810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 102198810 is about 10109.3427086038. The cubic root of 102198810 is about 467.5362397674.

The spelling of 102198810 in words is "one hundred two million, one hundred ninety-eight thousand, eight hundred ten".