105181024 has 48 divisors (see below), whose sum is σ = 232720992. Its totient is φ = 46430208.

The previous prime is 105181007. The next prime is 105181039. The reversal of 105181024 is 420181501.

It is a super-2 number, since 2×105181024² = 22126095619377152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105180986 and 105181004.

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 7 ways as a sum of consecutive naturals, for example, 4072 + ... + 15064.

It is an arithmetic number, because the mean of its divisors is an integer number (4848354).

Almost surely, 2^105181024 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 105181024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116360496).

105181024 is an abundant number, since it is smaller than the sum of its proper divisors (127539968).

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

105181024 is a wasteful number, since it uses less digits than its factorization.

105181024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11039 (or 11031 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 105181024 is about 10255.7800288423. The cubic root of 105181024 is about 472.0403585140.

The spelling of 105181024 in words is "one hundred five million, one hundred eighty-one thousand, twenty-four".