10505747 has 16 divisors (see below), whose sum is σ = 12408000. Its totient is φ = 8890560.

The previous prime is 10505741. The next prime is 10505749. The reversal of 10505747 is 74750501.

It is not a de Polignac number, because 10505747 - 2⁴ = 10505731 is a prime.

It is a super-2 number, since 2×10505747² = 220741440056018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37247 + ... + 37527.

It is an arithmetic number, because the mean of its divisors is an integer number (775500).

Almost surely, 2^10505747 is an apocalyptic number.

10505747 is a deficient number, since it is larger than the sum of its proper divisors (1902253).

10505747 is an equidigital number, since it uses as much as digits as its factorization.

10505747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 10505747 is about 3241.2570092481. The cubic root of 10505747 is about 219.0159006546.

The spelling of 10505747 in words is "ten million, five hundred five thousand, seven hundred forty-seven".