105414416 has 40 divisors (see below), whose sum is σ = 216950400. Its totient is φ = 49447424.

The previous prime is 105414401. The next prime is 105414427. The reversal of 105414416 is 614414501.

It is a super-2 number, since 2×105414416² = 22224398201242112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162605 + ... + 163251.

It is an arithmetic number, because the mean of its divisors is an integer number (5423760).

Almost surely, 2^105414416 is an apocalyptic number.

105414416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105414416 is an abundant number, since it is smaller than the sum of its proper divisors (111535984).

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

105414416 is a wasteful number, since it uses less digits than its factorization.

105414416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1265 counting only the distinct ones).

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

The square root of 105414416 is about 10267.1522828874. The cubic root of 105414416 is about 472.3892460849.

Adding to 105414416 its reverse (614414501), we get a palindrome (719828917).

The spelling of 105414416 in words is "one hundred five million, four hundred fourteen thousand, four hundred sixteen".