105531215576144 has 20 divisors (see below), whose sum is σ = 205014898367796. Its totient is φ = 52624145029632.

The previous prime is 105531215576119. The next prime is 105531215576147. The reversal of 105531215576144 is 441675512135501.

It can be written as a sum of positive squares in 2 ways, for example, as 47094180750400 + 58437034825744 = 6862520^2 + 7644412^2 .

It is a super-2 number, since 2×105531215576144² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105531215576092 and 105531215576101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105531215576147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8841416249 + ... + 8841428184.

Almost surely, 2^{105531215576144} is an apocalyptic number.

It is an amenable number.

105531215576144 is a deficient number, since it is larger than the sum of its proper divisors (99483682791652).

105531215576144 is a wasteful number, since it uses less digits than its factorization.

105531215576144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17682844814 (or 17682844808 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 50.

The spelling of 105531215576144 in words is "one hundred five trillion, five hundred thirty-one billion, two hundred fifteen million, five hundred seventy-six thousand, one hundred forty-four".