105355132541 has 8 divisors (see below), whose sum is σ = 106574285400. Its totient is φ = 104140572480.

The previous prime is 105355132513. The next prime is 105355132559. The reversal of 105355132541 is 145231553501.

It can be written as a sum of positive squares in 4 ways, for example, as 1365006916 + 103990125625 = 36946^2 + 322475^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105355132541 - 2¹⁴ = 105355116157 is a prime.

It is a super-2 number, since 2×105355132541² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355132511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1102046 + ... + 1193823.

It is an arithmetic number, because the mean of its divisors is an integer number (13321785675).

Almost surely, 2^105355132541 is an apocalyptic number.

It is an amenable number.

105355132541 is a deficient number, since it is larger than the sum of its proper divisors (1219152859).

105355132541 is a wasteful number, since it uses less digits than its factorization.

105355132541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296399.

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 105355132541 in words is "one hundred five billion, three hundred fifty-five million, one hundred thirty-two thousand, five hundred forty-one".