105525681408 has 864 divisors, whose sum is σ = 396717834240. Its totient is φ = 26250117120.

The previous prime is 105525681341. The next prime is 105525681463. The reversal of 105525681408 is 804186525501.

105525681408 is a `hidden beast` number, since 1 + 0 + 5 + 525 + 6 + 81 + 40 + 8 = 666.

It is a super-2 number, since 2×105525681408² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244838953 + ... + 244839383.

It is an arithmetic number, because the mean of its divisors is an integer number (459164160).

Almost surely, 2^105525681408 is an apocalyptic number.

105525681408 is a gapful number since it is divisible by the number (18) 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 105525681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198358917120).

105525681408 is an abundant number, since it is smaller than the sum of its proper divisors (291192152832).

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

105525681408 is a wasteful number, since it uses less digits than its factorization.

105525681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 105525681408 in words is "one hundred five billion, five hundred twenty-five million, six hundred eighty-one thousand, four hundred eight".