100401 has 12 divisors (see below), whose sum is σ = 155952. Its totient is φ = 57288.

The previous prime is 100393. The next prime is 100403. The reversal of 100401 is 104001.

100401 = 19² + 20² + ... + 67².

It is not a de Polignac number, because 100401 - 2³ = 100393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100401.

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 11 ways as a sum of consecutive naturals, for example, 195 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (12996).

2¹⁰⁰⁴⁰¹ is an apocalyptic number.

It is an amenable number.

100401 is a deficient number, since it is larger than the sum of its proper divisors (55551).

100401 is an equidigital number, since it uses as much as digits as its factorization.

100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100401 is about 316.8611683372. The cubic root of 100401 is about 46.4778481609.

Adding to 100401 its reverse (104001), we get a palindrome (204402).

Subtracting 100401 from its reverse (104001), we obtain a square (3600 = 60²).

The spelling of 100401 in words is "one hundred thousand, four hundred one", and thus it is an iban number.