105031532441 has 16 divisors (see below), whose sum is σ = 119707452288. Its totient is φ = 91220342400.

The previous prime is 105031532407. The next prime is 105031532443. The reversal of 105031532441 is 144235130501.

It is a de Polignac number, because none of the positive numbers 2^k-105031532441 is a prime.

It is a super-2 number, since 2×105031532441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105031532443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45116 + ... + 460541.

It is an arithmetic number, because the mean of its divisors is an integer number (7481715768).

Almost surely, 2^105031532441 is an apocalyptic number.

105031532441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105031532441 is a deficient number, since it is larger than the sum of its proper divisors (14675919847).

105031532441 is a wasteful number, since it uses less digits than its factorization.

105031532441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506512.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105031532441 its reverse (144235130501), we get a palindrome (249266662942).

The spelling of 105031532441 in words is "one hundred five billion, thirty-one million, five hundred thirty-two thousand, four hundred forty-one".