10508958 has 48 divisors (see below), whose sum is σ = 24547536. Its totient is φ = 3237120.

The previous prime is 10508909. The next prime is 10508959. The reversal of 10508958 is 85980501.

It is a super-2 number, since 2×10508958² = 220876396491528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10508959) 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 23 ways as a sum of consecutive naturals, for example, 18385 + ... + 18947.

It is an arithmetic number, because the mean of its divisors is an integer number (511407).

Almost surely, 2^10508958 is an apocalyptic number.

10508958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10508958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12273768).

10508958 is an abundant number, since it is smaller than the sum of its proper divisors (14038578).

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

10508958 is a wasteful number, since it uses less digits than its factorization.

10508958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 10508958 is about 3241.7523039245. The cubic root of 10508958 is about 219.0382118848.

The spelling of 10508958 in words is "ten million, five hundred eight thousand, nine hundred fifty-eight".