101145041 has 8 divisors (see below), whose sum is σ = 103230504. Its totient is φ = 99066240.

The previous prime is 101144983. The next prime is 101145047. The reversal of 101145041 is 140541101.

It can be written as a sum of positive squares in 4 ways, for example, as 3530641 + 97614400 = 1879^2 + 9880^2 .

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 101145041 - 2⁶ = 101144977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101145047) 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 7 ways as a sum of consecutive naturals, for example, 38861 + ... + 41381.

It is an arithmetic number, because the mean of its divisors is an integer number (12903813).

Almost surely, 2^101145041 is an apocalyptic number.

It is an amenable number.

101145041 is a deficient number, since it is larger than the sum of its proper divisors (2085463).

101145041 is an equidigital number, since it uses as much as digits as its factorization.

101145041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 101145041 is about 10057.0890917800. The cubic root of 101145041 is about 465.9237673625.

Adding to 101145041 its reverse (140541101), we get a palindrome (241686142).

The spelling of 101145041 in words is "one hundred one million, one hundred forty-five thousand, forty-one".