102042702078048 has 336 divisors, whose sum is σ = 319027900574880. Its totient is φ = 32003080777728.

The previous prime is 102042702078013. The next prime is 102042702078067. The reversal of 102042702078048 is 840870207240201.

102042702078048 is a `hidden beast` number, since 10 + 2 + 0 + 427 + 0 + 207 + 8 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102042702077994 and 102042702078012.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1280504061 + ... + 1280583747.

It is an arithmetic number, because the mean of its divisors is an integer number (949487799330).

Almost surely, 2^{102042702078048} is an apocalyptic number.

102042702078048 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 102042702078048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159513950287440).

102042702078048 is an abundant number, since it is smaller than the sum of its proper divisors (216985198496832).

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

102042702078048 is an equidigital number, since it uses as much as digits as its factorization.

102042702078048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82961 (or 82938 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 102042702078048 in words is "one hundred two trillion, forty-two billion, seven hundred two million, seventy-eight thousand, forty-eight".