100101603 has 16 divisors (see below), whose sum is σ = 153964800. Its totient is φ = 56665056.

The previous prime is 100101601. The next prime is 100101607. The reversal of 100101603 is 306101001.

It is not a de Polignac number, because 100101603 - 2¹ = 100101601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101601) 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, 20028 + ... + 24521.

It is an arithmetic number, because the mean of its divisors is an integer number (9622800).

Almost surely, 2^100101603 is an apocalyptic number.

100101603 is a deficient number, since it is larger than the sum of its proper divisors (53863197).

100101603 is a wasteful number, since it uses less digits than its factorization.

100101603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44666.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100101603 is about 10005.0788602589. The cubic root of 100101603 is about 464.3160299348.

Adding to 100101603 its reverse (306101001), we get a palindrome (406202604).

The spelling of 100101603 in words is "one hundred million, one hundred one thousand, six hundred three".