102314500 has 48 divisors (see below), whose sum is σ = 236618928. Its totient is φ = 38515200.

The previous prime is 102314467. The next prime is 102314503. The reversal of 102314500 is 5413201.

It can be written as a sum of positive squares in 8 ways, for example, as 53202436 + 49112064 = 7294^2 + 7008^2 .

It is not an unprimeable number, because it can be changed into a prime (102314503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2482 + ... + 14518.

It is an arithmetic number, because the mean of its divisors is an integer number (4929561).

Almost surely, 2^102314500 is an apocalyptic number.

102314500 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 102314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118309464).

102314500 is an abundant number, since it is smaller than the sum of its proper divisors (134304428).

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

102314500 is a wasteful number, since it uses less digits than its factorization.

102314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073 (or 12061 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102314500 is about 10115.0630250137. The cubic root of 102314500 is about 467.7125916922.

Adding to 102314500 its reverse (5413201), we get a palindrome (107727701).

The spelling of 102314500 in words is "one hundred two million, three hundred fourteen thousand, five hundred".