91105101 has 24 divisors (see below), whose sum is σ = 136872960. Its totient is φ = 59888808.

The previous prime is 91105073. The next prime is 91105109. The reversal of 91105101 is 10150119.

It is not a de Polignac number, because 91105101 - 2¹⁰ = 91104077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91105109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558846 + ... + 559008.

It is an arithmetic number, because the mean of its divisors is an integer number (5703040).

Almost surely, 2^91105101 is an apocalyptic number.

It is an amenable number.

91105101 is a deficient number, since it is larger than the sum of its proper divisors (45767859).

91105101 is a wasteful number, since it uses less digits than its factorization.

91105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 18.

The square root of 91105101 is about 9544.8992137162. The cubic root of 91105101 is about 449.9672420599.

The spelling of 91105101 in words is "ninety-one million, one hundred five thousand, one hundred one".