91854688101 has 16 divisors (see below), whose sum is σ = 133744462848. Its totient is φ = 55612156400.

The previous prime is 91854688063. The next prime is 91854688151. The reversal of 91854688101 is 10188645819.

It is a cyclic number.

It is not a de Polignac number, because 91854688101 - 2³¹ = 89707204453 is a prime.

It is a super-2 number, since 2×91854688101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91854688151) 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, 1401261 + ... + 1465346.

It is an arithmetic number, because the mean of its divisors is an integer number (8359028928).

Almost surely, 2^91854688101 is an apocalyptic number.

It is an amenable number.

91854688101 is a deficient number, since it is larger than the sum of its proper divisors (41889774747).

91854688101 is a wasteful number, since it uses less digits than its factorization.

91854688101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867592.

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 91854688101 in words is "ninety-one billion, eight hundred fifty-four million, six hundred eighty-eight thousand, one hundred one".