91966101 has 16 divisors (see below), whose sum is σ = 125313408. Its totient is φ = 59976000.

The previous prime is 91966093. The next prime is 91966111. The reversal of 91966101 is 10166919.

It is not a de Polignac number, because 91966101 - 2³ = 91966093 is a prime.

It is a super-3 number, since 3×91966101³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91966111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34776 + ... + 37326.

It is an arithmetic number, because the mean of its divisors is an integer number (7832088).

Almost surely, 2^91966101 is an apocalyptic number.

It is an amenable number.

91966101 is a deficient number, since it is larger than the sum of its proper divisors (33347307).

91966101 is a wasteful number, since it uses less digits than its factorization.

91966101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812.

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 91966101 is about 9589.8957762845. The cubic root of 91966101 is about 451.3802902857.

The spelling of 91966101 in words is "ninety-one million, nine hundred sixty-six thousand, one hundred one".