105381124472141 has 6 divisors (see below), whose sum is σ = 122586206018670. Its totient is φ = 90326678118936.

The previous prime is 105381124472137. The next prime is 105381124472227. The reversal of 105381124472141 is 141274421183501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101640977341225 + 3740147130916 = 10081715^2 + 1933946^2 .

It is not a de Polignac number, because 105381124472141 - 2² = 105381124472137 is a prime.

It is a super-2 number, since 2×105381124472141² (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 = 105381124472092 and 105381124472101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105381124478141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1075317596606 + ... + 1075317596703.

It is an arithmetic number, because the mean of its divisors is an integer number (20431034336445).

Almost surely, 2^{105381124472141} is an apocalyptic number.

It is an amenable number.

105381124472141 is a deficient number, since it is larger than the sum of its proper divisors (17205081546529).

105381124472141 is an equidigital number, since it uses as much as digits as its factorization.

105381124472141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150635193323 (or 2150635193316 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 105381124472141 in words is "one hundred five trillion, three hundred eighty-one billion, one hundred twenty-four million, four hundred seventy-two thousand, one hundred forty-one".