91380100 has 108 divisors (see below), whose sum is σ = 244460916. Its totient is φ = 29460480.

The previous prime is 91380097. The next prime is 91380137. The reversal of 91380100 is 108319.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 90364036 = 1008^2 + 9506^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82752 + ... + 83848.

It is an arithmetic number, because the mean of its divisors is an integer number (2263527).

Almost surely, 2^91380100 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 91380100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122230458).

91380100 is an abundant number, since it is smaller than the sum of its proper divisors (153080816).

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

91380100 is a wasteful number, since it uses less digits than its factorization.

91380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 91380100 is about 9559.2939069787. The cubic root of 91380100 is about 450.4195264574.

Adding to 91380100 its reverse (108319), we get a palindrome (91488419).

The spelling of 91380100 in words is "ninety-one million, three hundred eighty thousand, one hundred".