105934417888320 has 2016 divisors, whose sum is σ = 451818831200256. Its totient is φ = 22674368102400.

The previous prime is 105934417888259. The next prime is 105934417888381. The reversal of 105934417888320 is 23888714439501.

105934417888320 is a `hidden beast` number, since 1 + 0 + 5 + 93 + 441 + 7 + 8 + 8 + 83 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (105934417888259) and next prime (105934417888381).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×105934417888320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31239873825 + ... + 31239877215.

Almost surely, 2^{105934417888320} is an apocalyptic number.

105934417888320 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 105934417888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225909415600128).

105934417888320 is an abundant number, since it is smaller than the sum of its proper divisors (345884413311936).

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

105934417888320 is a wasteful number, since it uses less digits than its factorization.

105934417888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 105934417888320 in words is "one hundred five trillion, nine hundred thirty-four billion, four hundred seventeen million, eight hundred eighty-eight thousand, three hundred twenty".