100106061003 has 16 divisors (see below), whose sum is σ = 159713374240. Its totient is φ = 61603729632.

The previous prime is 100106061001. The next prime is 100106061017. The reversal of 100106061003 is 300160601001.

It is not a de Polignac number, because 100106061003 - 2¹ = 100106061001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100106061001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142600876 + ... + 142601577.

It is an arithmetic number, because the mean of its divisors is an integer number (9982085890).

Almost surely, 2^100106061003 is an apocalyptic number.

100106061003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100106061003 is a deficient number, since it is larger than the sum of its proper divisors (59607313237).

100106061003 is a wasteful number, since it uses less digits than its factorization.

100106061003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285202475 (or 285202469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100106061003 its reverse (300160601001), we get a palindrome (400266662004).

The spelling of 100106061003 in words is "one hundred billion, one hundred six million, sixty-one thousand, three".