102200193 has 12 divisors (see below), whose sum is σ = 150043348. Its totient is φ = 67016160.

The previous prime is 102200191. The next prime is 102200227. The reversal of 102200193 is 391002201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49449024 + 52751169 = 7032^2 + 7263^2 .

It is not a de Polignac number, because 102200193 - 2¹ = 102200191 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200191) 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 11 ways as a sum of consecutive naturals, for example, 92530 + ... + 93627.

Almost surely, 2^102200193 is an apocalyptic number.

It is an amenable number.

102200193 is a deficient number, since it is larger than the sum of its proper divisors (47843155).

102200193 is a wasteful number, since it uses less digits than its factorization.

102200193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186224 (or 186221 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102200193 is about 10109.4111104456. The cubic root of 102200193 is about 467.5383487278.

Adding to 102200193 its reverse (391002201), we get a palindrome (493202394).

The spelling of 102200193 in words is "one hundred two million, two hundred thousand, one hundred ninety-three".