102712320 has 176 divisors, whose sum is σ = 365512320. Its totient is φ = 27353088.

The previous prime is 102712277. The next prime is 102712369. The reversal of 102712320 is 23217201.

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 = 102712293 and 102712302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137869 + ... + 138611.

Almost surely, 2^102712320 is an apocalyptic number.

102712320 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 102712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182756160).

102712320 is an abundant number, since it is smaller than the sum of its proper divisors (262800000).

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

102712320 is an equidigital number, since it uses as much as digits as its factorization.

102712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102712320 is about 10134.7086785956. The cubic root of 102712320 is about 468.3179955830.

Adding to 102712320 its reverse (23217201), we get a palindrome (125929521).

The spelling of 102712320 in words is "one hundred two million, seven hundred twelve thousand, three hundred twenty".