105867182848 has 648 divisors, whose sum is σ = 289720443600. Its totient is φ = 38323224576.

The previous prime is 105867182809. The next prime is 105867182857. The reversal of 105867182848 is 848281768501.

It is a super-2 number, since 2×105867182848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 105867182792 and 105867182801.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1997493990 + ... + 1997494042.

It is an arithmetic number, because the mean of its divisors is an integer number (447099450).

Almost surely, 2^105867182848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105867182848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144860221800).

105867182848 is an abundant number, since it is smaller than the sum of its proper divisors (183853260752).

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

105867182848 is a wasteful number, since it uses less digits than its factorization.

105867182848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 58.

The spelling of 105867182848 in words is "one hundred five billion, eight hundred sixty-seven million, one hundred eighty-two thousand, eight hundred forty-eight".