100006407 has 14 divisors (see below), whose sum is σ = 149942112. Its totient is φ = 66670452.

The previous prime is 100006397. The next prime is 100006457. The reversal of 100006407 is 704600001.

It is not a de Polignac number, because 100006407 - 2⁴ = 100006391 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100006407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100006457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 67863 + ... + 69320.

Almost surely, 2^100006407 is an apocalyptic number.

100006407 is a deficient number, since it is larger than the sum of its proper divisors (49935705).

100006407 is an frugal number, since it uses more digits than its factorization.

100006407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137201 (or 137186 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100006407 is about 10000.3203448690. The cubic root of 100006407 is about 464.1687960361.

Adding to 100006407 its reverse (704600001), we get a palindrome (804606408).

The spelling of 100006407 in words is "one hundred million, six thousand, four hundred seven".