105386754165000 has 960 divisors, whose sum is σ = 431274428006400. Its totient is φ = 21192091200000.

The previous prime is 105386754164971. The next prime is 105386754165013. The reversal of 105386754165000 is 561457683501.

105386754165000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105386754165000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 250424761 + ... + 250845239.

It is an arithmetic number, because the mean of its divisors is an integer number (449244195840).

Almost surely, 2^{105386754165000} is an apocalyptic number.

105386754165000 is a gapful number since it is divisible by the number (10) 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 105386754165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215637214003200).

105386754165000 is an abundant number, since it is smaller than the sum of its proper divisors (325887673841400).

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

105386754165000 is a wasteful number, since it uses less digits than its factorization.

105386754165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420564 (or 420538 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 105386754165000 in words is "one hundred five trillion, three hundred eighty-six billion, seven hundred fifty-four million, one hundred sixty-five thousand".