10500953 has 8 divisors (see below), whose sum is σ = 10670400. Its totient is φ = 10333008.

The previous prime is 10500923. The next prime is 10500983. The reversal of 10500953 is 35900501.

It is an interprime number because it is at equal distance from previous prime (10500923) and next prime (10500983).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10500953 - 2¹⁴ = 10484569 is a prime.

It is a super-2 number, since 2×10500953² = 220540027816418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10500923) 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, 27518 + ... + 27896.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^10500953 is an apocalyptic number.

It is an amenable number.

10500953 is a deficient number, since it is larger than the sum of its proper divisors (169447).

10500953 is a wasteful number, since it uses less digits than its factorization.

10500953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 10500953 is about 3240.5173969599. The cubic root of 10500953 is about 218.9825816856.

The spelling of 10500953 in words is "ten million, five hundred thousand, nine hundred fifty-three".