105211144153101 has 16 divisors (see below), whose sum is σ = 163346682029184. Its totient is φ = 58986301842624.

The previous prime is 105211144153021. The next prime is 105211144153111. The reversal of 105211144153101 is 101351441112501.

It is not a de Polignac number, because 105211144153101 - 2¹⁹ = 105211143628813 is a prime.

It is a super-2 number, since 2×105211144153101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105211144153111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47264663826 + ... + 47264666051.

It is an arithmetic number, because the mean of its divisors is an integer number (10209167626824).

Almost surely, 2^{105211144153101} is an apocalyptic number.

It is an amenable number.

105211144153101 is a deficient number, since it is larger than the sum of its proper divisors (58135537876083).

105211144153101 is an equidigital number, since it uses as much as digits as its factorization.

105211144153101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94529329940.

The product of its (nonzero) digits is 2400, while the sum is 30.

Adding to 105211144153101 its reverse (101351441112501), we get a palindrome (206562585265602).

The spelling of 105211144153101 in words is "one hundred five trillion, two hundred eleven billion, one hundred forty-four million, one hundred fifty-three thousand, one hundred one".