102431200300 has 144 divisors (see below), whose sum is σ = 263724308064. Its totient is φ = 34041600000.

The previous prime is 102431200283. The next prime is 102431200343. The reversal of 102431200300 is 3002134201.

It is a happy 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, 1408840 + ... + 1479760.

It is an arithmetic number, because the mean of its divisors is an integer number (1831418806).

Almost surely, 2^102431200300 is an apocalyptic number.

102431200300 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 102431200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131862154032).

102431200300 is an abundant number, since it is smaller than the sum of its proper divisors (161293107764).

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

102431200300 is a wasteful number, since it uses less digits than its factorization.

102431200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71060 (or 71053 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102431200300 its reverse (3002134201), we get a palindrome (105433334501).

The spelling of 102431200300 in words is "one hundred two billion, four hundred thirty-one million, two hundred thousand, three hundred".