105414141 has 12 divisors (see below), whose sum is σ = 163499712. Its totient is φ = 60236568.

The previous prime is 105414137. The next prime is 105414143. The reversal of 105414141 is 141414501.

It is not a de Polignac number, because 105414141 - 2² = 105414137 is a prime.

It is a super-3 number, since 3×105414141³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414143) 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 11 ways as a sum of consecutive naturals, for example, 358405 + ... + 358698.

It is an arithmetic number, because the mean of its divisors is an integer number (13624976).

Almost surely, 2^105414141 is an apocalyptic number.

It is an amenable number.

105414141 is a deficient number, since it is larger than the sum of its proper divisors (58085571).

105414141 is an equidigital number, since it uses as much as digits as its factorization.

105414141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717120 (or 717113 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 105414141 is about 10267.1388906550. The cubic root of 105414141 is about 472.3888353025.

Adding to 105414141 its reverse (141414501), we get a palindrome (246828642).

The spelling of 105414141 in words is "one hundred five million, four hundred fourteen thousand, one hundred forty-one".