105553504131 has 16 divisors (see below), whose sum is σ = 141011878560. Its totient is φ = 70232140800.

The previous prime is 105553504103. The next prime is 105553504201. The reversal of 105553504131 is 131405355501.

It is not a de Polignac number, because 105553504131 - 2²¹ = 105551406979 is a prime.

It is a super-2 number, since 2×105553504131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105553504092 and 105553504101.

It is not an unprimeable number, because it can be changed into a prime (105553504631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7586281 + ... + 7600181.

It is an arithmetic number, because the mean of its divisors is an integer number (8813242410).

Almost surely, 2^105553504131 is an apocalyptic number.

105553504131 is a deficient number, since it is larger than the sum of its proper divisors (35458374429).

105553504131 is a wasteful number, since it uses less digits than its factorization.

105553504131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18646.

The product of its (nonzero) digits is 22500, while the sum is 33.

Adding to 105553504131 its reverse (131405355501), we get a palindrome (236958859632).

The spelling of 105553504131 in words is "one hundred five billion, five hundred fifty-three million, five hundred four thousand, one hundred thirty-one".