102141367064 has 64 divisors (see below), whose sum is σ = 211137062400. Its totient is φ = 45937072000.

The previous prime is 102141367051. The next prime is 102141367067. The reversal of 102141367064 is 460763141201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102141367067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17586449 + ... + 17592255.

It is an arithmetic number, because the mean of its divisors is an integer number (3299016600).

Almost surely, 2^102141367064 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 102141367064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105568531200).

102141367064 is an abundant number, since it is smaller than the sum of its proper divisors (108995695336).

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

102141367064 is a wasteful number, since it uses less digits than its factorization.

102141367064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 102141367064 in words is "one hundred two billion, one hundred forty-one million, three hundred sixty-seven thousand, sixty-four".