102349129824 has 120 divisors (see below), whose sum is σ = 301109536728. Its totient is φ = 34104637440.

The previous prime is 102349129819. The next prime is 102349129849. The reversal of 102349129824 is 428921943201.

102349129824 is a `hidden beast` number, since 10 + 2 + 349 + 1 + 298 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102349129824.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 10910224 + ... + 10919600.

Almost surely, 2^102349129824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102349129824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150554768364).

102349129824 is an abundant number, since it is smaller than the sum of its proper divisors (198760406904).

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

102349129824 is an equidigital number, since it uses as much as digits as its factorization.

102349129824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13610 (or 13593 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 102349129824 in words is "one hundred two billion, three hundred forty-nine million, one hundred twenty-nine thousand, eight hundred twenty-four".