105531406031104 has 81 divisors (see below), whose sum is σ = 213682906691499. Its totient is φ = 52016771304960.

The previous prime is 105531406031047. The next prime is 105531406031123. The reversal of 105531406031104 is 401130604135501.

The square root of 105531406031104 is 10272848.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×105531406031104² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105531406031104.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11669950807 + ... + 11669959849.

Almost surely, 2^{105531406031104} is an apocalyptic number.

105531406031104 is the 10272848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105531406031104

105531406031104 is an abundant number, since it is smaller than the sum of its proper divisors (108151500660395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105531406031104 is an frugal number, since it uses more digits than its factorization.

105531406031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18244 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 105531406031104 in words is "one hundred five trillion, five hundred thirty-one billion, four hundred six million, thirty-one thousand, one hundred four".