102542178106368 has 3520 divisors, whose sum is σ = 423997026647040. Its totient is φ = 24029128949760.

The previous prime is 102542178106321. The next prime is 102542178106391. The reversal of 102542178106368 is 863601871245201.

It is a happy number.

102542178106368 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 4 + 2 + 178 + 106 + 368 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 592729353130 + ... + 592729353302.

It is an arithmetic number, because the mean of its divisors is an integer number (120453700752).

Almost surely, 2^{102542178106368} is an apocalyptic number.

102542178106368 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 102542178106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211998513323520).

102542178106368 is an abundant number, since it is smaller than the sum of its proper divisors (321454848540672).

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

102542178106368 is a wasteful number, since it uses less digits than its factorization.

102542178106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 102542178106368 in words is "one hundred two trillion, five hundred forty-two billion, one hundred seventy-eight million, one hundred six thousand, three hundred sixty-eight".