100114003 has 16 divisors (see below), whose sum is σ = 119633760. Its totient is φ = 82700800.

The previous prime is 100113997. The next prime is 100114067. The reversal of 100114003 is 300411001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100114003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111003) 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, 3808 + ... + 14653.

It is an arithmetic number, because the mean of its divisors is an integer number (7477110).

Almost surely, 2^100114003 is an apocalyptic number.

100114003 is a deficient number, since it is larger than the sum of its proper divisors (19519757).

100114003 is a wasteful number, since it uses less digits than its factorization.

100114003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18518.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100114003 is about 10005.6985263399. The cubic root of 100114003 is about 464.3352013929.

Adding to 100114003 its reverse (300411001), we get a palindrome (400525004).

The spelling of 100114003 in words is "one hundred million, one hundred fourteen thousand, three".