105144200311124 has 12 divisors (see below), whose sum is σ = 198156377509524. Its totient is φ = 48528092451264.

The previous prime is 105144200311069. The next prime is 105144200311159. The reversal of 105144200311124 is 421113002441501.

It can be written as a sum of positive squares in 2 ways, for example, as 8627919278224 + 96516281032900 = 2937332^2 + 9824270^2 .

It is a super-2 number, since 2×105144200311124² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1011001926017 + ... + 1011001926120.

It is an arithmetic number, because the mean of its divisors is an integer number (16513031459127).

Almost surely, 2^{105144200311124} is an apocalyptic number.

It is an amenable number.

105144200311124 is a deficient number, since it is larger than the sum of its proper divisors (93012177198400).

105144200311124 is a wasteful number, since it uses less digits than its factorization.

105144200311124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022003852154 (or 2022003852152 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 105144200311124 its reverse (421113002441501), we get a palindrome (526257202752625).

The spelling of 105144200311124 in words is "one hundred five trillion, one hundred forty-four billion, two hundred million, three hundred eleven thousand, one hundred twenty-four".