101390041 has 8 divisors (see below), whose sum is σ = 102839400. Its totient is φ = 99950592.

The previous prime is 101390021. The next prime is 101390053. The reversal of 101390041 is 140093101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 95160025 = 2496^2 + 9755^2 .

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 101390041 - 2⁷ = 101389913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101390011) 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, 19485 + ... + 24133.

It is an arithmetic number, because the mean of its divisors is an integer number (12854925).

Almost surely, 2^101390041 is an apocalyptic number.

It is an amenable number.

101390041 is a deficient number, since it is larger than the sum of its proper divisors (1449359).

101390041 is a wasteful number, since it uses less digits than its factorization.

101390041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 101390041 is about 10069.2621874693. The cubic root of 101390041 is about 466.2996608236.

The spelling of 101390041 in words is "one hundred one million, three hundred ninety thousand, forty-one".