91829101001 has 12 divisors (see below), whose sum is σ = 105727189104. Its totient is φ = 79087260600.

The previous prime is 91829100947. The next prime is 91829101009. The reversal of 91829101001 is 10010192819.

It is not a de Polignac number, because 91829101001 - 2¹⁰ = 91829099977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91829101009) 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 11 ways as a sum of consecutive naturals, for example, 11558495 + ... + 11566436.

It is an arithmetic number, because the mean of its divisors is an integer number (8810599092).

Almost surely, 2^91829101001 is an apocalyptic number.

It is an amenable number.

91829101001 is a deficient number, since it is larger than the sum of its proper divisors (13898088103).

91829101001 is a wasteful number, since it uses less digits than its factorization.

91829101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23124980 (or 23124961 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 91829101001 in words is "ninety-one billion, eight hundred twenty-nine million, one hundred one thousand, one".