101000003 has 8 divisors (see below), whose sum is σ = 109287696. Its totient is φ = 92786400.

The previous prime is 100999993. The next prime is 101000023. The reversal of 101000003 is 300000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101000003 - 2⁶ = 100999939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000023) 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, 15668 + ... + 21153.

It is an arithmetic number, because the mean of its divisors is an integer number (13660962).

Almost surely, 2^101000003 is an apocalyptic number.

101000003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101000003 is a deficient number, since it is larger than the sum of its proper divisors (8287693).

101000003 is a wasteful number, since it uses less digits than its factorization.

101000003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37045.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 101000003 is about 10049.8757703765. The cubic root of 101000003 is about 465.7009553913.

Adding to 101000003 its reverse (300000101), we get a palindrome (401000104).

The spelling of 101000003 in words is "one hundred one million, three", and thus it is an aban number.