91161863100 has 864 divisors, whose sum is σ = 374532028416. Its totient is φ = 18682617600.

The previous prime is 91161863087. The next prime is 91161863161. The reversal of 91161863100 is 136816119.

It is a happy number.

91161863100 is a `hidden beast` number, since 9 + 1 + 1 + 6 + 18 + 631 + 0 + 0 = 666.

It is a super-2 number, since 2×91161863100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 155301007 + ... + 155301593.

It is an arithmetic number, because the mean of its divisors is an integer number (433486144).

Almost surely, 2^91161863100 is an apocalyptic number.

91161863100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91161863100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187266014208).

91161863100 is an abundant number, since it is smaller than the sum of its proper divisors (283370165316).

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

91161863100 is a wasteful number, since it uses less digits than its factorization.

91161863100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 91161863100 in words is "ninety-one billion, one hundred sixty-one million, eight hundred sixty-three thousand, one hundred".