102069826848 has 216 divisors, whose sum is σ = 321573417984. Its totient is φ = 30685374720.

The previous prime is 102069826847. The next prime is 102069826849. The reversal of 102069826848 is 848628960201.

It is an interprime number because it is at equal distance from previous prime (102069826847) and next prime (102069826849).

It is a junction number, because it is equal to n+sod(n) for n = 102069826794 and 102069826803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102069826841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4414165 + ... + 4437227.

It is an arithmetic number, because the mean of its divisors is an integer number (1488765824).

Almost surely, 2^102069826848 is an apocalyptic number.

102069826848 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 102069826848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160786708992).

102069826848 is an abundant number, since it is smaller than the sum of its proper divisors (219503591136).

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

102069826848 is a wasteful number, since it uses less digits than its factorization.

102069826848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23228 (or 23206 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 102069826848 in words is "one hundred two billion, sixty-nine million, eight hundred twenty-six thousand, eight hundred forty-eight".