10261105497 has 48 divisors (see below), whose sum is σ = 15944919120. Its totient is φ = 6335594496.

The previous prime is 10261105489. The next prime is 10261105501. The reversal of 10261105497 is 79450116201.

10261105497 is a `hidden beast` number, since 1 + 0 + 2 + 61 + 105 + 497 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 771228441 + 9489877056 = 27771^2 + 97416^2 .

It is not a de Polignac number, because 10261105497 - 2³ = 10261105489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10261105417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6890529 + ... + 6892017.

It is an arithmetic number, because the mean of its divisors is an integer number (332185815).

Almost surely, 2^10261105497 is an apocalyptic number.

10261105497 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10261105497 is a deficient number, since it is larger than the sum of its proper divisors (5683813623).

10261105497 is a wasteful number, since it uses less digits than its factorization.

10261105497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10261105497 in words is "ten billion, two hundred sixty-one million, one hundred five thousand, four hundred ninety-seven".