105307641 has 16 divisors (see below), whose sum is σ = 156182400. Its totient is φ = 70128144.

The previous prime is 105307637. The next prime is 105307649. The reversal of 105307641 is 146703501.

105307641 is a `hidden beast` number, since 10 + 5 + 3 + 0 + 7 + 641 = 666.

It is not a de Polignac number, because 105307641 - 2² = 105307637 is a prime.

It is a super-2 number, since 2×105307641² = 22179398505969762, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105307649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34135 + ... + 37091.

It is an arithmetic number, because the mean of its divisors is an integer number (9761400).

Almost surely, 2^105307641 is an apocalyptic number.

It is an amenable number.

105307641 is a deficient number, since it is larger than the sum of its proper divisors (50874759).

105307641 is a wasteful number, since it uses less digits than its factorization.

105307641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105307641 is about 10261.9511302676. The cubic root of 105307641 is about 472.2296967449.

The spelling of 105307641 in words is "one hundred five million, three hundred seven thousand, six hundred forty-one".