105395881680 has 240 divisors, whose sum is σ = 358032602304. Its totient is φ = 27782922240.

The previous prime is 105395881639. The next prime is 105395881693. The reversal of 105395881680 is 86188593501.

105395881680 is a `hidden beast` number, since 1 + 0 + 53 + 9 + 588 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105395881680² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 44450895 + ... + 44453265.

Almost surely, 2^105395881680 is an apocalyptic number.

105395881680 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 105395881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179016301152).

105395881680 is an abundant number, since it is smaller than the sum of its proper divisors (252636720624).

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

105395881680 is a wasteful number, since it uses less digits than its factorization.

105395881680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 105395881680 in words is "one hundred five billion, three hundred ninety-five million, eight hundred eighty-one thousand, six hundred eighty".