100003401 has 12 divisors (see below), whose sum is σ = 152946612. Its totient is φ = 62747136.

The previous prime is 100003381. The next prime is 100003417. The reversal of 100003401 is 104300001.

It can be written as a sum of positive squares in 2 ways, for example, as 47817225 + 52186176 = 6915^2 + 7224^2 .

It is not a de Polignac number, because 100003401 - 2⁷ = 100003273 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100003481) 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 11 ways as a sum of consecutive naturals, for example, 326656 + ... + 326961.

It is an arithmetic number, because the mean of its divisors is an integer number (12745551).

Almost surely, 2^100003401 is an apocalyptic number.

It is an amenable number.

100003401 is a deficient number, since it is larger than the sum of its proper divisors (52943211).

100003401 is a wasteful number, since it uses less digits than its factorization.

100003401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653640 (or 653637 counting only the distinct ones).

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

The square root of 100003401 is about 10000.1700485542. The cubic root of 100003401 is about 464.1641453162.

Adding to 100003401 its reverse (104300001), we get a palindrome (204303402).

The spelling of 100003401 in words is "one hundred million, three thousand, four hundred one".