105541634361 has 32 divisors (see below), whose sum is σ = 150213115008. Its totient is φ = 65683537920.

The previous prime is 105541634279. The next prime is 105541634369. The reversal of 105541634361 is 163436145501.

It is not a de Polignac number, because 105541634361 - 2²¹ = 105539537209 is a prime.

It is a super-2 number, since 2×105541634361² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105541634369) 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, 24697521 + ... + 24701793.

It is an arithmetic number, because the mean of its divisors is an integer number (4694159844).

Almost surely, 2^105541634361 is an apocalyptic number.

It is an amenable number.

105541634361 is a deficient number, since it is larger than the sum of its proper divisors (44671480647).

105541634361 is a wasteful number, since it uses less digits than its factorization.

105541634361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8121.

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 105541634361 its reverse (163436145501), we get a palindrome (268977779862).

The spelling of 105541634361 in words is "one hundred five billion, five hundred forty-one million, six hundred thirty-four thousand, three hundred sixty-one".