10100409 has 16 divisors (see below), whose sum is σ = 14750400. Its totient is φ = 6096960.

The previous prime is 10100407. The next prime is 10100423. The reversal of 10100409 is 90400101.

It is not a de Polignac number, because 10100409 - 2¹ = 10100407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100407) 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 15 ways as a sum of consecutive naturals, for example, 11079 + ... + 11955.

It is an arithmetic number, because the mean of its divisors is an integer number (921900).

Almost surely, 2^10100409 is an apocalyptic number.

It is an amenable number.

10100409 is a deficient number, since it is larger than the sum of its proper divisors (4649991).

10100409 is a wasteful number, since it uses less digits than its factorization.

10100409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10100409 is about 3178.1140634030. The cubic root of 10100409 is about 216.1621510481.

The spelling of 10100409 in words is "ten million, one hundred thousand, four hundred nine".