105330416 has 40 divisors (see below), whose sum is σ = 210965664. Its totient is φ = 50906880.

The previous prime is 105330391. The next prime is 105330493. The reversal of 105330416 is 614033501.

It is a happy number.

It is a super-2 number, since 2×105330416² = 22188993069466112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105330391 and 105330400.

It is a congruent number.

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, 106661 + ... + 107643.

Almost surely, 2^105330416 is an apocalyptic number.

105330416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105330416 is an abundant number, since it is smaller than the sum of its proper divisors (105635248).

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

105330416 is a wasteful number, since it uses less digits than its factorization.

105330416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 105330416 is about 10263.0607520369. The cubic root of 105330416 is about 472.2637375040.

Adding to 105330416 its reverse (614033501), we get a palindrome (719363917).

The spelling of 105330416 in words is "one hundred five million, three hundred thirty thousand, four hundred sixteen".