100091828291 has 24 divisors (see below), whose sum is σ = 126747498240. Its totient is φ = 77351785056.

The previous prime is 100091828281. The next prime is 100091828321. The reversal of 100091828291 is 192828190001.

It is a happy number.

It is not a de Polignac number, because 100091828291 - 2¹⁰ = 100091827267 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100091828281) 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 23 ways as a sum of consecutive naturals, for example, 932951 + ... + 1034688.

It is an arithmetic number, because the mean of its divisors is an integer number (5281145760).

Almost surely, 2^100091828291 is an apocalyptic number.

100091828291 is a deficient number, since it is larger than the sum of its proper divisors (26655669949).

100091828291 is a wasteful number, since it uses less digits than its factorization.

100091828291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967715 (or 1967702 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 41.

The spelling of 100091828291 in words is "one hundred billion, ninety-one million, eight hundred twenty-eight thousand, two hundred ninety-one".