101606409 has 6 divisors (see below), whose sum is σ = 146764826. Its totient is φ = 67737600.

The previous prime is 101606389. The next prime is 101606413. The reversal of 101606409 is 904606101.

101606409 is a `hidden beast` number, since 1 + 0 + 16 + 0 + 640 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 9 = 10080^2 + 3^2 .

It is not a de Polignac number, because 101606409 - 2⁹ = 101605897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101606429) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5644792 + ... + 5644809.

Almost surely, 2^101606409 is an apocalyptic number.

It is an amenable number.

101606409 is a deficient number, since it is larger than the sum of its proper divisors (45158417).

101606409 is a wasteful number, since it uses less digits than its factorization.

101606409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289607 (or 11289604 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101606409 is about 10080.0004464286. Note that the first 3 decimals coincide. The cubic root of 101606409 is about 466.6311221794.

The spelling of 101606409 in words is "one hundred one million, six hundred six thousand, four hundred nine".