100009273829 has 4 divisors (see below), whose sum is σ = 105272919840. Its totient is φ = 94745627820.

The previous prime is 100009273813. The next prime is 100009273909. The reversal of 100009273829 is 928372900001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100009273829 - 2⁴ = 100009273813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100009278829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2631822977 + ... + 2631823014.

It is an arithmetic number, because the mean of its divisors is an integer number (26318229960).

Almost surely, 2^100009273829 is an apocalyptic number.

100009273829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100009273829 is a deficient number, since it is larger than the sum of its proper divisors (5263646011).

100009273829 is an equidigital number, since it uses as much as digits as its factorization.

100009273829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263646010.

The product of its (nonzero) digits is 54432, while the sum is 41.

It can be divided in two parts, 10000 and 9273829, that added together give a palindrome (9283829).

The spelling of 100009273829 in words is "one hundred billion, nine million, two hundred seventy-three thousand, eight hundred twenty-nine".