102324131100 has 108 divisors (see below), whose sum is σ = 321119462664. Its totient is φ = 27253242240.

The previous prime is 102324131057. The next prime is 102324131149. The reversal of 102324131100 is 1131423201.

102324131100 is a `hidden beast` number, since 10 + 232 + 413 + 1 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 675562 + ... + 813038.

It is an arithmetic number, because the mean of its divisors is an integer number (2973328358).

Almost surely, 2^102324131100 is an apocalyptic number.

102324131100 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 102324131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160559731332).

102324131100 is an abundant number, since it is smaller than the sum of its proper divisors (218795331564).

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

102324131100 is a wasteful number, since it uses less digits than its factorization.

102324131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138324 (or 138314 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102324131100 its reverse (1131423201), we get a palindrome (103455554301).

The spelling of 102324131100 in words is "one hundred two billion, three hundred twenty-four million, one hundred thirty-one thousand, one hundred".