100406405 has 12 divisors (see below), whose sum is σ = 132437676. Its totient is φ = 73022400.

The previous prime is 100406389. The next prime is 100406407. The reversal of 100406405 is 504604001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70997476 + 29408929 = 8426^2 + 5423^2 .

It is not a de Polignac number, because 100406405 - 2⁴ = 100406389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100406407) 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, 82376 + ... + 83585.

It is an arithmetic number, because the mean of its divisors is an integer number (11036473).

Almost surely, 2^100406405 is an apocalyptic number.

It is an amenable number.

100406405 is a deficient number, since it is larger than the sum of its proper divisors (32031271).

100406405 is a wasteful number, since it uses less digits than its factorization.

100406405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165988 (or 165977 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 100406405 is about 10020.2996462182. The cubic root of 100406405 is about 464.7868217736.

The spelling of 100406405 in words is "one hundred million, four hundred six thousand, four hundred five".