102200192 has 64 divisors (see below), whose sum is σ = 219108240. Its totient is φ = 47308800.

The previous prime is 102200191. The next prime is 102200227. The reversal of 102200192 is 291002201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 102200192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145442 + ... + 146142.

Almost surely, 2^102200192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109554120).

102200192 is an abundant number, since it is smaller than the sum of its proper divisors (116908048).

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

102200192 is an equidigital number, since it uses as much as digits as its factorization.

102200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 102200192 is about 10109.4110609867. The cubic root of 102200192 is about 467.5383472028.

Adding to 102200192 its reverse (291002201), we get a palindrome (393202393).

The spelling of 102200192 in words is "one hundred two million, two hundred thousand, one hundred ninety-two".