102010710816 has 288 divisors, whose sum is σ = 359205694848. Its totient is φ = 26793123840.

The previous prime is 102010710743. The next prime is 102010710871. The reversal of 102010710816 is 618017010201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 102010710816.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439086 + ... + 1508306.

It is an arithmetic number, because the mean of its divisors is an integer number (1247241996).

Almost surely, 2^102010710816 is an apocalyptic number.

102010710816 is a gapful number since it is divisible by the number (16) 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 102010710816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179602847424).

102010710816 is an abundant number, since it is smaller than the sum of its proper divisors (257194984032).

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

102010710816 is a wasteful number, since it uses less digits than its factorization.

102010710816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69304 (or 69293 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 102010710816 in words is "one hundred two billion, ten million, seven hundred ten thousand, eight hundred sixteen".