105488572531680 has 768 divisors, whose sum is σ = 406429257830400. Its totient is φ = 25391494103040.

The previous prime is 105488572531669. The next prime is 105488572531711. The reversal of 105488572531680 is 86135275884501.

It is a happy number.

105488572531680 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 8 + 8 + 572 + 53 + 1 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×105488572531680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3090860856 + ... + 3090894984.

It is an arithmetic number, because the mean of its divisors is an integer number (529204762800).

Almost surely, 2^{105488572531680} is an apocalyptic number.

105488572531680 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 105488572531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203214628915200).

105488572531680 is an abundant number, since it is smaller than the sum of its proper divisors (300940685298720).

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

105488572531680 is a wasteful number, since it uses less digits than its factorization.

105488572531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35384 (or 35370 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 105488572531680 in words is "one hundred five trillion, four hundred eighty-eight billion, five hundred seventy-two million, five hundred thirty-one thousand, six hundred eighty".