102309120 has 216 divisors, whose sum is σ = 361591776. Its totient is φ = 26701824.

The previous prime is 102309113. The next prime is 102309157. The reversal of 102309120 is 21903201.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 102309093 and 102309102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956107 + ... + 956213.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 2^102309120 is an apocalyptic number.

102309120 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 102309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888).

102309120 is an abundant number, since it is smaller than the sum of its proper divisors (259282656).

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

102309120 is a wasteful number, since it uses less digits than its factorization.

102309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

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

The square root of 102309120 is about 10114.7970815039. The cubic root of 102309120 is about 467.7043936432.

The spelling of 102309120 in words is "one hundred two million, three hundred nine thousand, one hundred twenty".