105153011131 has 24 divisors (see below), whose sum is σ = 129673652976. Its totient is φ = 84726190080.

The previous prime is 105153011077. The next prime is 105153011147. The reversal of 105153011131 is 131110351501.

It is a de Polignac number, because none of the positive numbers 2^k-105153011131 is a prime.

It is a super-2 number, since 2×105153011131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105153011191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612571 + ... + 765211.

It is an arithmetic number, because the mean of its divisors is an integer number (5403068874).

Almost surely, 2^105153011131 is an apocalyptic number.

105153011131 is a deficient number, since it is larger than the sum of its proper divisors (24520641845).

105153011131 is a wasteful number, since it uses less digits than its factorization.

105153011131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153499 (or 153492 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 22.

Adding to 105153011131 its reverse (131110351501), we get a palindrome (236263362632).

The spelling of 105153011131 in words is "one hundred five billion, one hundred fifty-three million, eleven thousand, one hundred thirty-one".