105181163584 has 112 divisors (see below), whose sum is σ = 240130510848. Its totient is φ = 44777392128.

The previous prime is 105181163533. The next prime is 105181163627. The reversal of 105181163584 is 485361181501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105181163584² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105181163584.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47527662 + ... + 47529874.

Almost surely, 2^105181163584 is an apocalyptic number.

105181163584 is a gapful number since it is divisible by the number (14) 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 105181163584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120065255424).

105181163584 is an abundant number, since it is smaller than the sum of its proper divisors (134949347264).

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

105181163584 is a wasteful number, since it uses less digits than its factorization.

105181163584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 105181163584 in words is "one hundred five billion, one hundred eighty-one million, one hundred sixty-three thousand, five hundred eighty-four".