105241894068960 has 768 divisors, whose sum is σ = 404733708288000. Its totient is φ = 25329558988800.

The previous prime is 105241894068953. The next prime is 105241894068967. The reversal of 105241894068960 is 69860498142501.

105241894068960 is a `hidden beast` number, since 1 + 0 + 52 + 41 + 8 + 9 + 406 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (105241894068953) and next prime (105241894068967).

It is a super-2 number, since 2×105241894068960² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105241894068967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4416164245 + ... + 4416188075.

It is an arithmetic number, because the mean of its divisors is an integer number (526997016000).

Almost surely, 2^{105241894068960} is an apocalyptic number.

105241894068960 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 105241894068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202366854144000).

105241894068960 is an abundant number, since it is smaller than the sum of its proper divisors (299491814219040).

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

105241894068960 is a wasteful number, since it uses less digits than its factorization.

105241894068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24532 (or 24518 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 105241894068960 in words is "one hundred five trillion, two hundred forty-one billion, eight hundred ninety-four million, sixty-eight thousand, nine hundred sixty".