10500842261 has 32 divisors (see below), whose sum is σ = 13400567040. Its totient is φ = 8003390976.

The previous prime is 10500842249. The next prime is 10500842267. The reversal of 10500842261 is 16224800501.

It is not a de Polignac number, because 10500842261 - 2³⁰ = 9427100437 is a prime.

It is a super-2 number, since 2×10500842261² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500842267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201670 + ... + 1210376.

It is an arithmetic number, because the mean of its divisors is an integer number (418767720).

Almost surely, 2^10500842261 is an apocalyptic number.

It is an amenable number.

10500842261 is a deficient number, since it is larger than the sum of its proper divisors (2899724779).

10500842261 is a wasteful number, since it uses less digits than its factorization.

10500842261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9213.

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 10500842261 in words is "ten billion, five hundred million, eight hundred forty-two thousand, two hundred sixty-one".