102748864000 has 160 divisors (see below), whose sum is σ = 257670784800. Its totient is φ = 40865382400.

The previous prime is 102748863967. The next prime is 102748864013. The reversal of 102748864000 is 468847201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 11451516 + ... + 11460484.

It is an arithmetic number, because the mean of its divisors is an integer number (1610442405).

Almost surely, 2^102748864000 is an apocalyptic number.

102748864000 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 102748864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128835392400).

102748864000 is an abundant number, since it is smaller than the sum of its proper divisors (154921920800).

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

102748864000 is an frugal number, since it uses more digits than its factorization.

102748864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 102748864000 in words is "one hundred two billion, seven hundred forty-eight million, eight hundred sixty-four thousand".