105144414 has 16 divisors (see below), whose sum is σ = 210494352. Its totient is φ = 35013888.

The previous prime is 105144409. The next prime is 105144427. The reversal of 105144414 is 414441501.

It is a super-2 number, since 2×105144414² = 22110695590806792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1459 + ... + 14574.

It is an arithmetic number, because the mean of its divisors is an integer number (13155897).

Almost surely, 2^105144414 is an apocalyptic number.

105144414 is an abundant number, since it is smaller than the sum of its proper divisors (105349938).

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

105144414 is a wasteful number, since it uses less digits than its factorization.

105144414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17131.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 105144414 is about 10253.9950263300. The cubic root of 105144414 is about 471.9855849998.

Adding to 105144414 its reverse (414441501), we get a palindrome (519585915).

The spelling of 105144414 in words is "one hundred five million, one hundred forty-four thousand, four hundred fourteen".