102843018690048 has 1760 divisors, whose sum is σ = 392740759857600. Its totient is φ = 26167826055168.

The previous prime is 102843018689993. The next prime is 102843018690089. The reversal of 102843018690048 is 840096810348201.

It is a happy number.

102843018690048 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 430 + 1 + 86 + 90 + 0 + 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 = 102843018689976 and 102843018690003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 79785118588 + ... + 79785119876.

It is an arithmetic number, because the mean of its divisors is an integer number (223148159010).

Almost surely, 2^{102843018690048} is an apocalyptic number.

102843018690048 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 102843018690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196370379928800).

102843018690048 is an abundant number, since it is smaller than the sum of its proper divisors (289897741167552).

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

102843018690048 is an frugal number, since it uses more digits than its factorization.

102843018690048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1343 counting only the distinct ones).

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

The spelling of 102843018690048 in words is "one hundred two trillion, eight hundred forty-three billion, eighteen million, six hundred ninety thousand, forty-eight".