105679130388480 has 1440 divisors, whose sum is σ = 429795756149760. Its totient is φ = 24792027955200.

The previous prime is 105679130388467. The next prime is 105679130388571. The reversal of 105679130388480 is 84883031976501.

105679130388480 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 7 + 91 + 30 + 38 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×105679130388480² (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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3111212457 + ... + 3111246423.

It is an arithmetic number, because the mean of its divisors is an integer number (298469275104).

Almost surely, 2^{105679130388480} is an apocalyptic number.

105679130388480 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 105679130388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214897878074880).

105679130388480 is an abundant number, since it is smaller than the sum of its proper divisors (324116625761280).

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

105679130388480 is a wasteful number, since it uses less digits than its factorization.

105679130388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34059 (or 34019 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 105679130388480 in words is "one hundred five trillion, six hundred seventy-nine billion, one hundred thirty million, three hundred eighty-eight thousand, four hundred eighty".