105113211541 has 32 divisors (see below), whose sum is σ = 115585118208. Its totient is φ = 95009241600.

The previous prime is 105113211517. The next prime is 105113211557. The reversal of 105113211541 is 145112311501.

It is not a de Polignac number, because 105113211541 - 2⁹ = 105113211029 is a prime.

It is a super-2 number, since 2×105113211541² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105113211571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55292691 + ... + 55294591.

It is an arithmetic number, because the mean of its divisors is an integer number (3612034944).

Almost surely, 2^105113211541 is an apocalyptic number.

It is an amenable number.

105113211541 is a deficient number, since it is larger than the sum of its proper divisors (10471906667).

105113211541 is a wasteful number, since it uses less digits than its factorization.

105113211541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461.

The product of its (nonzero) digits is 600, while the sum is 25.

The spelling of 105113211541 in words is "one hundred five billion, one hundred thirteen million, two hundred eleven thousand, five hundred forty-one".