102888864864 has 144 divisors (see below), whose sum is σ = 296256293424. Its totient is φ = 33868800000.

The previous prime is 102888864853. The next prime is 102888864889. The reversal of 102888864864 is 468468888201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×102888864864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9139239 + ... + 9150489.

It is an arithmetic number, because the mean of its divisors is an integer number (2057335371).

Almost surely, 2^102888864864 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 102888864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148128146712).

102888864864 is an abundant number, since it is smaller than the sum of its proper divisors (193367428560).

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

102888864864 is a wasteful number, since it uses less digits than its factorization.

102888864864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661 (or 11650 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 102888864864 in words is "one hundred two billion, eight hundred eighty-eight million, eight hundred sixty-four thousand, eight hundred sixty-four".