91907103168 has 224 divisors, whose sum is σ = 274831576320. Its totient is φ = 30113233920.

The previous prime is 91907103143. The next prime is 91907103191. The reversal of 91907103168 is 86130170919.

It is a super-2 number, since 2×91907103168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30260946 + ... + 30263982.

It is an arithmetic number, because the mean of its divisors is an integer number (1226926680).

Almost surely, 2^91907103168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91907103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137415788160).

91907103168 is an abundant number, since it is smaller than the sum of its proper divisors (182924473152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91907103168 is a wasteful number, since it uses less digits than its factorization.

91907103168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 91907103168 in words is "ninety-one billion, nine hundred seven million, one hundred three thousand, one hundred sixty-eight".