102741167568 has 160 divisors (see below), whose sum is σ = 301661942400. Its totient is φ = 29870512128.

The previous prime is 102741167563. The next prime is 102741167569. The reversal of 102741167568 is 865761147201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102741167563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4600846 + ... + 4623122.

It is an arithmetic number, because the mean of its divisors is an integer number (1885387140).

Almost surely, 2^102741167568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102741167568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150830971200).

102741167568 is an abundant number, since it is smaller than the sum of its proper divisors (198920774832).

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

102741167568 is a wasteful number, since it uses less digits than its factorization.

102741167568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22709 (or 22703 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 102741167568 in words is "one hundred two billion, seven hundred forty-one million, one hundred sixty-seven thousand, five hundred sixty-eight".