105327425808 has 240 divisors, whose sum is σ = 344622335616. Its totient is φ = 29704181760.

The previous prime is 105327425779. The next prime is 105327425809. The reversal of 105327425808 is 808524723501.

105327425808 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 27 + 42 + 580 + 8 = 666.

It is a super-2 number, since 2×105327425808² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105327425809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308916 + ... + 1387052.

Almost surely, 2^105327425808 is an apocalyptic number.

105327425808 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 105327425808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172311167808).

105327425808 is an abundant number, since it is smaller than the sum of its proper divisors (239294909808).

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

105327425808 is a wasteful number, since it uses less digits than its factorization.

105327425808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78222 (or 78213 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

It can be divided in two parts, 105327 and 425808, that added together give a palindrome (531135).

The spelling of 105327425808 in words is "one hundred five billion, three hundred twenty-seven million, four hundred twenty-five thousand, eight hundred eight".