102301320 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 23489280.

The previous prime is 102301313. The next prime is 102301327. The reversal of 102301320 is 23103201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102301313) and next prime (102301327).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102301296 and 102301305.

It is not an unprimeable number, because it can be changed into a prime (102301327) 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, 23041 + ... + 27119.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^102301320 is an apocalyptic number.

102301320 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 102301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

102301320 is an abundant number, since it is smaller than the sum of its proper divisors (250210680).

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

102301320 is a wasteful number, since it uses less digits than its factorization.

102301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102301320 is about 10114.4115004285. The cubic root of 102301320 is about 467.6925074856.

Adding to 102301320 its reverse (23103201), we get a palindrome (125404521).

The spelling of 102301320 in words is "one hundred two million, three hundred one thousand, three hundred twenty".