10505958 has 16 divisors (see below), whose sum is σ = 21047040. Its totient is φ = 3496136.

The previous prime is 10505951. The next prime is 10505959. The reversal of 10505958 is 85950501.

It is a super-2 number, since 2×10505958² = 220750306995528, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505951) by changing a digit.

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, 3991 + ... + 6077.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 2^10505958 is an apocalyptic number.

10505958 is an abundant number, since it is smaller than the sum of its proper divisors (10541082).

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

10505958 is a wasteful number, since it uses less digits than its factorization.

10505958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931.

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 10505958 is about 3241.2895581851. The cubic root of 10505958 is about 219.0173669011.

The spelling of 10505958 in words is "ten million, five hundred five thousand, nine hundred fifty-eight".