100407 has 4 divisors (see below), whose sum is σ = 133880. Its totient is φ = 66936.

The previous prime is 100403. The next prime is 100411. The reversal of 100407 is 704001.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (100403) and next prime (100411).

It is not a de Polignac number, because 100407 - 2² = 100403 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

100407 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 100392 and 100401.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100407.

It is not an unprimeable number, because it can be changed into a prime (100403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16732 + ... + 16737.

It is an arithmetic number, because the mean of its divisors is an integer number (33470).

2¹⁰⁰⁴⁰⁷ is an apocalyptic number.

100407 is a deficient number, since it is larger than the sum of its proper divisors (33473).

100407 is an equidigital number, since it uses as much as digits as its factorization.

100407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33472.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 100407 is about 316.8706360646. The cubic root of 100407 is about 46.4787739868.

Adding to 100407 its reverse (704001), we get a palindrome (804408).

The spelling of 100407 in words is "one hundred thousand, four hundred seven", and thus it is an iban number.