10105524153 has 12 divisors (see below), whose sum is σ = 14612392548. Its totient is φ = 6729851040.

The previous prime is 10105524139. The next prime is 10105524193. The reversal of 10105524153 is 35142550101.

10105524153 is a `hidden beast` number, since 10 + 10 + 552 + 41 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2338979769 + 7766544384 = 48363^2 + 88128^2 .

It is not a de Polignac number, because 10105524153 - 2⁴ = 10105524137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10105524103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588150 + ... + 605087.

It is an arithmetic number, because the mean of its divisors is an integer number (1217699379).

Almost surely, 2^10105524153 is an apocalyptic number.

It is an amenable number.

10105524153 is a deficient number, since it is larger than the sum of its proper divisors (4506868395).

10105524153 is a wasteful number, since it uses less digits than its factorization.

10105524153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194184 (or 1194181 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10105524153 in words is "ten billion, one hundred five million, five hundred twenty-four thousand, one hundred fifty-three".