102504424531320 has 384 divisors, whose sum is σ = 393861333565440. Its totient is φ = 22624810306560.

The previous prime is 102504424531261. The next prime is 102504424531321. The reversal of 102504424531320 is 23135424405201.

It is a happy number.

102504424531320 is a `hidden beast` number, since 1 + 0 + 2 + 50 + 4 + 42 + 4 + 531 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102504424531321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34752562 + ... + 37586558.

It is an arithmetic number, because the mean of its divisors is an integer number (1025680556160).

Almost surely, 2^{102504424531320} is an apocalyptic number.

102504424531320 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 102504424531320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196930666782720).

102504424531320 is an abundant number, since it is smaller than the sum of its proper divisors (291356909034120).

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

102504424531320 is a wasteful number, since it uses less digits than its factorization.

102504424531320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834515 (or 2834508 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 102504424531320 its reverse (23135424405201), we get a palindrome (125639848936521).

The spelling of 102504424531320 in words is "one hundred two trillion, five hundred four billion, four hundred twenty-four million, five hundred thirty-one thousand, three hundred twenty".