102114320 has 160 divisors (see below), whose sum is σ = 300623616. Its totient is φ = 31595520.

The previous prime is 102114301. The next prime is 102114323. The reversal of 102114320 is 23411201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102114295 and 102114304.

It is not an unprimeable number, because it can be changed into a prime (102114323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745292 + ... + 745428.

Almost surely, 2^102114320 is an apocalyptic number.

102114320 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 102114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150311808).

102114320 is an abundant number, since it is smaller than the sum of its proper divisors (198509296).

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

102114320 is a wasteful number, since it uses less digits than its factorization.

102114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 102114320 is about 10105.1630367847. The cubic root of 102114320 is about 467.4073634212.

Adding to 102114320 its reverse (23411201), we get a palindrome (125525521).

The spelling of 102114320 in words is "one hundred two million, one hundred fourteen thousand, three hundred twenty".