105268644 has 72 divisors (see below), whose sum is σ = 293284992. Its totient is φ = 31631040.

The previous prime is 105268627. The next prime is 105268661. The reversal of 105268644 is 446862501.

105268644 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 6 + 8 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (105268627) and next prime (105268661).

It is a super-2 number, since 2×105268644² = 22162974819197472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105268599 and 105268608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17509 + ... + 22739.

Almost surely, 2^105268644 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 105268644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146642496).

105268644 is an abundant number, since it is smaller than the sum of its proper divisors (188016348).

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

105268644 is a wasteful number, since it uses less digits than its factorization.

105268644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 105268644 is about 10260.0508770668. The cubic root of 105268644 is about 472.1713983000.

It can be divided in two parts, 1052 and 68644, that added together give a palindrome (69696).

The spelling of 105268644 in words is "one hundred five million, two hundred sixty-eight thousand, six hundred forty-four".