102105665584 has 120 divisors (see below), whose sum is σ = 217075575024. Its totient is φ = 46500480000.

The previous prime is 102105665539. The next prime is 102105665617. The reversal of 102105665584 is 485566501201.

It is a super-4 number, since 4×102105665584⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102105665584.

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, 125900539 + ... + 125901349.

Almost surely, 2^102105665584 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 102105665584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108537787512).

102105665584 is an abundant number, since it is smaller than the sum of its proper divisors (114969909440).

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

102105665584 is a wasteful number, since it uses less digits than its factorization.

102105665584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 102105665584 in words is "one hundred two billion, one hundred five million, six hundred sixty-five thousand, five hundred eighty-four".