101106409 has 2 divisors, whose sum is σ = 101106410. Its totient is φ = 101106408.

The previous prime is 101106377. The next prime is 101106427. The reversal of 101106409 is 904601101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99940009 + 1166400 = 9997^2 + 1080^2 .

It is a cyclic number.

It is not a de Polignac number, because 101106409 - 2⁵ = 101106377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101106409.

It is not a weakly prime, because it can be changed into another prime (101106479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553204 + 50553205.

It is an arithmetic number, because the mean of its divisors is an integer number (50553205).

Almost surely, 2^101106409 is an apocalyptic number.

It is an amenable number.

101106409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106409 is an equidigital number, since it uses as much as digits as its factorization.

101106409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 101106409 is about 10055.1682730823. The cubic root of 101106409 is about 465.8644404826.

The spelling of 101106409 in words is "one hundred one million, one hundred six thousand, four hundred nine".