105553011403137 has 32 divisors (see below), whose sum is σ = 143235942154240. Its totient is φ = 69122502792000.

The previous prime is 105553011403087. The next prime is 105553011403153. The reversal of 105553011403137 is 731304110355501.

It is not a de Polignac number, because 105553011403137 - 2¹² = 105553011399041 is a prime.

It is a super-2 number, since 2×105553011403137² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105553011403095 and 105553011403104.

It is not an unprimeable number, because it can be changed into a prime (105553011403237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691299312 + ... + 691451982.

It is an arithmetic number, because the mean of its divisors is an integer number (4476123192320).

Almost surely, 2^{105553011403137} is an apocalyptic number.

It is an amenable number.

105553011403137 is a deficient number, since it is larger than the sum of its proper divisors (37682930751103).

105553011403137 is a wasteful number, since it uses less digits than its factorization.

105553011403137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157765.

The product of its (nonzero) digits is 94500, while the sum is 39.

Adding to 105553011403137 its reverse (731304110355501), we get a palindrome (836857121758638).

The spelling of 105553011403137 in words is "one hundred five trillion, five hundred fifty-three billion, eleven million, four hundred three thousand, one hundred thirty-seven".