105066015941376 has 864 divisors, whose sum is σ = 377295190272000. Its totient is φ = 27436412731392.

The previous prime is 105066015941267. The next prime is 105066015941413. The reversal of 105066015941376 is 673149510660501.

105066015941376 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 6 + 0 + 159 + 413 + 76 = 666.

It is a super-2 number, since 2×105066015941376² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13267582345 + ... + 13267590263.

It is an arithmetic number, because the mean of its divisors is an integer number (436684248000).

Almost surely, 2^{105066015941376} is an apocalyptic number.

105066015941376 is a gapful number since it is divisible by the number (16) 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 105066015941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188647595136000).

105066015941376 is an abundant number, since it is smaller than the sum of its proper divisors (272229174330624).

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

105066015941376 is a wasteful number, since it uses less digits than its factorization.

105066015941376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 105066015941376 in words is "one hundred five trillion, sixty-six billion, fifteen million, nine hundred forty-one thousand, three hundred seventy-six".