102310005200 has 240 divisors, whose sum is σ = 284888234736. Its totient is φ = 34969190400.

The previous prime is 102310005197. The next prime is 102310005227. The reversal of 102310005200 is 2500013201.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 97451357584 + 4858647616 = 312172^2 + 69704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5382914 + ... + 5401886.

Almost surely, 2^102310005200 is an apocalyptic number.

102310005200 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 102310005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142444117368).

102310005200 is an abundant number, since it is smaller than the sum of its proper divisors (182578229536).

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

102310005200 is a wasteful number, since it uses less digits than its factorization.

102310005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19082 (or 19071 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 102310005200 its reverse (2500013201), we get a palindrome (104810018401).

The spelling of 102310005200 in words is "one hundred two billion, three hundred ten million, five thousand, two hundred".