100003134 has 64 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 25835520.

The previous prime is 100003091. The next prime is 100003151. The reversal of 100003134 is 431300001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 107182 + ... + 108110.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2^100003134 is an apocalyptic number.

100003134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100003134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

100003134 is an abundant number, since it is smaller than the sum of its proper divisors (150695106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100003134 is a wasteful number, since it uses less digits than its factorization.

100003134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100003134 is about 10000.1566987723. The cubic root of 100003134 is about 464.1637322238.

Adding to 100003134 its reverse (431300001), we get a palindrome (531303135).

The spelling of 100003134 in words is "one hundred million, three thousand, one hundred thirty-four".