105329241 has 20 divisors (see below), whose sum is σ = 159249552. Its totient is φ = 69369048.

The previous prime is 105329239. The next prime is 105329243. The reversal of 105329241 is 142923501.

105329241 is a `hidden beast` number, since 1 + 0 + 532 + 92 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (105329239) and next prime (105329243).

It is not a de Polignac number, because 105329241 - 2¹ = 105329239 is a prime.

It is a super-2 number, since 2×105329241² = 22188498019272162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105329243) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1111 + ... + 14556.

Almost surely, 2^105329241 is an apocalyptic number.

It is an amenable number.

105329241 is a deficient number, since it is larger than the sum of its proper divisors (53920311).

105329241 is an equidigital number, since it uses as much as digits as its factorization.

105329241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15762 (or 15753 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105329241 is about 10263.0035077457. The cubic root of 105329241 is about 472.2619814049.

It can be divided in two parts, 105329 and 241, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 105329241 in words is "one hundred five million, three hundred twenty-nine thousand, two hundred forty-one".