102840458112 has 256 divisors, whose sum is σ = 351068659200. Its totient is φ = 29028409344.

The previous prime is 102840458101. The next prime is 102840458113. The reversal of 102840458112 is 211854048201.

102840458112 is a `hidden beast` number, since 1 + 0 + 28 + 40 + 4 + 581 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102840458113) 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 31 ways as a sum of consecutive naturals, for example, 1982328 + ... + 2033544.

It is an arithmetic number, because the mean of its divisors is an integer number (1371361950).

Almost surely, 2^102840458112 is an apocalyptic number.

102840458112 is a gapful number since it is divisible by the number (12) 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 102840458112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175534329600).

102840458112 is an abundant number, since it is smaller than the sum of its proper divisors (248228201088).

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

102840458112 is an equidigital number, since it uses as much as digits as its factorization.

102840458112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51330 (or 51312 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 102840458112 in words is "one hundred two billion, eight hundred forty million, four hundred fifty-eight thousand, one hundred twelve".