10506912 has 48 divisors (see below), whose sum is σ = 29705760. Its totient is φ = 3232512.

The previous prime is 10506907. The next prime is 10506917. The reversal of 10506912 is 21960501.

It is an interprime number because it is at equal distance from previous prime (10506907) and next prime (10506917).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10506912² = 220790399551488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10506917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2962 + ... + 5457.

It is an arithmetic number, because the mean of its divisors is an integer number (618870).

Almost surely, 2^10506912 is an apocalyptic number.

10506912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10506912 is an abundant number, since it is smaller than the sum of its proper divisors (19198848).

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

10506912 is a wasteful number, since it uses less digits than its factorization.

10506912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 10506912 is about 3241.4367184938. The cubic root of 10506912 is about 219.0239960362.

The spelling of 10506912 in words is "ten million, five hundred six thousand, nine hundred twelve".