105416441 has 16 divisors (see below), whose sum is σ = 119099904. Its totient is φ = 92643264.

The previous prime is 105416411. The next prime is 105416491. The reversal of 105416441 is 144614501.

It is not a de Polignac number, because 105416441 - 2²² = 101222137 is a prime.

It is a super-2 number, since 2×105416441² = 22225252066212962, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105416441.

It is not an unprimeable number, because it can be changed into a prime (105416411) 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 15 ways as a sum of consecutive naturals, for example, 20276 + ... + 24938.

It is an arithmetic number, because the mean of its divisors is an integer number (7443744).

Almost surely, 2^105416441 is an apocalyptic number.

It is an amenable number.

105416441 is a deficient number, since it is larger than the sum of its proper divisors (13683463).

105416441 is a wasteful number, since it uses less digits than its factorization.

105416441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105416441 is about 10267.2508978791. The cubic root of 105416441 is about 472.3922709150.

The spelling of 105416441 in words is "one hundred five million, four hundred sixteen thousand, four hundred forty-one".