102300192 has 96 divisors (see below), whose sum is σ = 300585600. Its totient is φ = 33848064.

The previous prime is 102300179. The next prime is 102300193. The reversal of 102300192 is 291003201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102300193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143934 + ... + 144642.

It is an arithmetic number, because the mean of its divisors is an integer number (3131100).

Almost surely, 2^102300192 is an apocalyptic number.

102300192 is a gapful number since it is divisible by the number (12) 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 102300192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150292800).

102300192 is an abundant number, since it is smaller than the sum of its proper divisors (198285408).

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

102300192 is a wasteful number, since it uses less digits than its factorization.

102300192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

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

The square root of 102300192 is about 10114.3557382564. The cubic root of 102300192 is about 467.6907885143.

Adding to 102300192 its reverse (291003201), we get a palindrome (393303393).

The spelling of 102300192 in words is "one hundred two million, three hundred thousand, one hundred ninety-two".