102082399848 has 512 divisors, whose sum is σ = 342790963200. Its totient is φ = 27738547200.

The previous prime is 102082399843. The next prime is 102082399849. The reversal of 102082399848 is 848993280201.

102082399848 is a `hidden beast` number, since 1 + 0 + 208 + 2 + 399 + 8 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102082399794 and 102082399803.

It is not an unprimeable number, because it can be changed into a prime (102082399843) 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 127 ways as a sum of consecutive naturals, for example, 207906883 + ... + 207907373.

It is an arithmetic number, because the mean of its divisors is an integer number (669513600).

Almost surely, 2^102082399848 is an apocalyptic number.

102082399848 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 102082399848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171395481600).

102082399848 is an abundant number, since it is smaller than the sum of its proper divisors (240708563352).

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

102082399848 is a wasteful number, since it uses less digits than its factorization.

102082399848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 102082399848 in words is "one hundred two billion, eighty-two million, three hundred ninety-nine thousand, eight hundred forty-eight".