102871386510 has 128 divisors (see below), whose sum is σ = 272249424000. Its totient is φ = 24760565760.

The previous prime is 102871386509. The next prime is 102871386581. The reversal of 102871386510 is 15683178201.

102871386510 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2180370 + ... + 2227050.

It is an arithmetic number, because the mean of its divisors is an integer number (2126948625).

Almost surely, 2^102871386510 is an apocalyptic number.

102871386510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102871386510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136124712000).

102871386510 is an abundant number, since it is smaller than the sum of its proper divisors (169378037490).

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

102871386510 is a wasteful number, since it uses less digits than its factorization.

102871386510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46886.

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 102871386510 in words is "one hundred two billion, eight hundred seventy-one million, three hundred eighty-six thousand, five hundred ten".