91905068201 has 16 divisors (see below), whose sum is σ = 95457272064. Its totient is φ = 88427458944.

The previous prime is 91905068183. The next prime is 91905068219. The reversal of 91905068201 is 10286050919.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (91905068183) and next prime (91905068219).

It is a cyclic number.

It is not a de Polignac number, because 91905068201 - 2¹⁸ = 91904806057 is a prime.

It is a super-2 number, since 2×91905068201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91905064201) 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, 1009691 + ... + 1096943.

It is an arithmetic number, because the mean of its divisors is an integer number (5966079504).

Almost surely, 2^91905068201 is an apocalyptic number.

It is an amenable number.

91905068201 is a deficient number, since it is larger than the sum of its proper divisors (3552203863).

91905068201 is a wasteful number, since it uses less digits than its factorization.

91905068201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87680.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 91905068201 in words is "ninety-one billion, nine hundred five million, sixty-eight thousand, two hundred one".