105066163025340 has 384 divisors, whose sum is σ = 336733522900992. Its totient is φ = 24228615290880.

The previous prime is 105066163025339. The next prime is 105066163025371. The reversal of 105066163025340 is 43520361660501.

It is a super-2 number, since 2×105066163025340² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105066163025292 and 105066163025301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13866455632 + ... + 13866463208.

It is an arithmetic number, because the mean of its divisors is an integer number (876910215888).

Almost surely, 2^{105066163025340} is an apocalyptic number.

105066163025340 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 105066163025340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168366761450496).

105066163025340 is an abundant number, since it is smaller than the sum of its proper divisors (231667359875652).

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

105066163025340 is a wasteful number, since it uses less digits than its factorization.

105066163025340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12549 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 105066163025340 in words is "one hundred five trillion, sixty-six billion, one hundred sixty-three million, twenty-five thousand, three hundred forty".