102313324100 has 72 divisors (see below), whose sum is σ = 239472172800. Its totient is φ = 37718167680.

The previous prime is 102313324097. The next prime is 102313324103. The reversal of 102313324100 is 1423313201.

It is an interprime number because it is at equal distance from previous prime (102313324097) and next prime (102313324103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102313324103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774701 + ... + 897099.

It is an arithmetic number, because the mean of its divisors is an integer number (3326002400).

Almost surely, 2^102313324100 is an apocalyptic number.

102313324100 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 102313324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119736086400).

102313324100 is an abundant number, since it is smaller than the sum of its proper divisors (137158848700).

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

102313324100 is a wasteful number, since it uses less digits than its factorization.

102313324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123069 (or 123062 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102313324100 its reverse (1423313201), we get a palindrome (103736637301).

The spelling of 102313324100 in words is "one hundred two billion, three hundred thirteen million, three hundred twenty-four thousand, one hundred".