10605416 has 32 divisors (see below), whose sum is σ = 21789000. Its totient is φ = 4816896.

The previous prime is 10605383. The next prime is 10605431. The reversal of 10605416 is 61450601.

It can be written as a sum of positive squares in 4 ways, for example, as 7896100 + 2709316 = 2810^2 + 1646^2 .

It is a super-2 number, since 2×10605416² = 224949697066112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10605391 and 10605400.

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, 2600 + ... + 5288.

Almost surely, 2^10605416 is an apocalyptic number.

It is an amenable number.

10605416 is an abundant number, since it is smaller than the sum of its proper divisors (11183584).

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

10605416 is a wasteful number, since it uses less digits than its factorization.

10605416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10605416 is about 3256.5957685903. The cubic root of 10605416 is about 219.7063299279.

The spelling of 10605416 in words is "ten million, six hundred five thousand, four hundred sixteen".