100540001003 has 16 divisors (see below), whose sum is σ = 110335024800. Its totient is φ = 91040012544.

The previous prime is 100540000999. The next prime is 100540001011. The reversal of 100540001003 is 300100045001.

It is not a de Polignac number, because 100540001003 - 2² = 100540000999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100540061003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8054375 + ... + 8066847.

It is an arithmetic number, because the mean of its divisors is an integer number (6895939050).

Almost surely, 2^100540001003 is an apocalyptic number.

100540001003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100540001003 is a deficient number, since it is larger than the sum of its proper divisors (9795023797).

100540001003 is a wasteful number, since it uses less digits than its factorization.

100540001003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24238.

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 100540001003 its reverse (300100045001), we get a palindrome (400640046004).

The spelling of 100540001003 in words is "one hundred billion, five hundred forty million, one thousand, three".