102048505812 has 36 divisors (see below), whose sum is σ = 281406486816. Its totient is φ = 30923789520.

The previous prime is 102048505807. The next prime is 102048505813. The reversal of 102048505812 is 218505840201.

102048505812 is a `hidden beast` number, since 1 + 0 + 20 + 4 + 8 + 50 + 581 + 2 = 666.

102048505812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 (102048505813) 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 11 ways as a sum of consecutive naturals, for example, 128848728 + ... + 128849519.

It is an arithmetic number, because the mean of its divisors is an integer number (7816846856).

Almost surely, 2^102048505812 is an apocalyptic number.

102048505812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102048505812 is an abundant number, since it is smaller than the sum of its proper divisors (179357981004).

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

102048505812 is a wasteful number, since it uses less digits than its factorization.

102048505812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257698268 (or 257698263 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 102048505812 in words is "one hundred two billion, forty-eight million, five hundred five thousand, eight hundred twelve".