102146068368 has 120 divisors (see below), whose sum is σ = 287863325568. Its totient is φ = 33811347456.

The previous prime is 102146068363. The next prime is 102146068373. The reversal of 102146068368 is 863860641201.

102146068368 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 606 + 8 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (102146068363) and next prime (102146068373).

It is not an unprimeable number, because it can be changed into a prime (102146068363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40808205 + ... + 40810707.

Almost surely, 2^102146068368 is an apocalyptic number.

102146068368 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 102146068368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143931662784).

102146068368 is an abundant number, since it is smaller than the sum of its proper divisors (185717257200).

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

102146068368 is a wasteful number, since it uses less digits than its factorization.

102146068368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 102146068368 in words is "one hundred two billion, one hundred forty-six million, sixty-eight thousand, three hundred sixty-eight".