105169816200960 has 864 divisors, whose sum is σ = 444076637921280. Its totient is φ = 22461168844800.

The previous prime is 105169816200881. The next prime is 105169816200971. The reversal of 105169816200960 is 69002618961501.

105169816200960 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 9 + 8 + 1 + 620 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×105169816200960² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105169816200897 and 105169816200906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71770005 + ... + 73220715.

Almost surely, 2^{105169816200960} is an apocalyptic number.

105169816200960 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 105169816200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222038318960640).

105169816200960 is an abundant number, since it is smaller than the sum of its proper divisors (338906821720320).

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

105169816200960 is a wasteful number, since it uses less digits than its factorization.

105169816200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450805 (or 1450788 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 105169816200960 in words is "one hundred five trillion, one hundred sixty-nine billion, eight hundred sixteen million, two hundred thousand, nine hundred sixty".