102320064 has 224 divisors, whose sum is σ = 375513600. Its totient is φ = 26542080.

The previous prime is 102320021. The next prime is 102320083. The reversal of 102320064 is 460023201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 132672 + ... + 133440.

It is an arithmetic number, because the mean of its divisors is an integer number (1676400).

Almost surely, 2^102320064 is an apocalyptic number.

102320064 is a gapful number since it is divisible by the number (14) 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 102320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

102320064 is an abundant number, since it is smaller than the sum of its proper divisors (273193536).

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

102320064 is a wasteful number, since it uses less digits than its factorization.

102320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102320064 is about 10115.3380566346. The cubic root of 102320064 is about 467.7210698183.

Adding to 102320064 its reverse (460023201), we get a palindrome (562343265).

The spelling of 102320064 in words is "one hundred two million, three hundred twenty thousand, sixty-four".