100413 has 8 divisors (see below), whose sum is σ = 148800. Its totient is φ = 66924.

The previous prime is 100411. The next prime is 100417. The reversal of 100413 is 314001.

It is not a de Polignac number, because 100413 - 2¹ = 100411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

100413 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 100395 and 100404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1833 + ... + 1886.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2¹⁰⁰⁴¹³ is an apocalyptic number.

It is an amenable number.

100413 is a deficient number, since it is larger than the sum of its proper divisors (48387).

100413 is an equidigital number, since it uses as much as digits as its factorization.

100413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100413 is about 316.8801035092. The cubic root of 100413 is about 46.4796997758.

Adding to 100413 its reverse (314001), we get a palindrome (414414).

The spelling of 100413 in words is "one hundred thousand, four hundred thirteen".