105414515541 has 12 divisors (see below), whose sum is σ = 152291066668. Its totient is φ = 70264502784.

The previous prime is 105414515527. The next prime is 105414515567. The reversal of 105414515541 is 145515414501.

105414515541 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 4 + 51 + 554 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8603304516 + 96811211025 = 92754^2 + 311145^2 .

It is not a de Polignac number, because 105414515541 - 2¹⁷ = 105414384469 is a prime.

It is a super-2 number, since 2×105414515541² (a number of 23 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 = 105414515496 and 105414515505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414510541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930190 + ... + 1037343.

Almost surely, 2^105414515541 is an apocalyptic number.

It is an amenable number.

105414515541 is a deficient number, since it is larger than the sum of its proper divisors (46876551127).

105414515541 is a wasteful number, since it uses less digits than its factorization.

105414515541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973492 (or 1973489 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 105414515541 in words is "one hundred five billion, four hundred fourteen million, five hundred fifteen thousand, five hundred forty-one".