102748082688 has 280 divisors, whose sum is σ = 325928573388. Its totient is φ = 32232701952.

The previous prime is 102748082687. The next prime is 102748082741. The reversal of 102748082688 is 886280847201.

102748082688 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 480 + 82 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81047257344 + 21700825344 = 284688^2 + 147312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (102748082687) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6337120 + ... + 6353312.

Almost surely, 2^102748082688 is an apocalyptic number.

102748082688 is a gapful number since it is divisible by the number (18) 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 102748082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162964286694).

102748082688 is an abundant number, since it is smaller than the sum of its proper divisors (223180490700).

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

102748082688 is an frugal number, since it uses more digits than its factorization.

102748082688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16215 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 102748082688 in words is "one hundred two billion, seven hundred forty-eight million, eighty-two thousand, six hundred eighty-eight".