101541105 has 12 divisors (see below), whose sum is σ = 176004660. Its totient is φ = 54155232.

The previous prime is 101541091. The next prime is 101541107. The reversal of 101541105 is 501145101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59861169 + 41679936 = 7737^2 + 6456^2 .

It is not a de Polignac number, because 101541105 - 2¹⁷ = 101410033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101541107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1128190 + ... + 1128279.

It is an arithmetic number, because the mean of its divisors is an integer number (14667055).

Almost surely, 2^101541105 is an apocalyptic number.

101541105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101541105 is a deficient number, since it is larger than the sum of its proper divisors (74463555).

101541105 is a wasteful number, since it uses less digits than its factorization.

101541105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256480 (or 2256477 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 101541105 is about 10076.7606402058. The cubic root of 101541105 is about 466.5311304239.

Adding to 101541105 its reverse (501145101), we get a palindrome (602686206).

The spelling of 101541105 in words is "one hundred one million, five hundred forty-one thousand, one hundred five".