91144900 has 216 divisors, whose sum is σ = 267170400. Its totient is φ = 26611200.

The previous prime is 91144897. The next prime is 91144909. The reversal of 91144900 is 944119.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (91144909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1024056 + ... + 1024144.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 2^91144900 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 91144900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).

91144900 is an abundant number, since it is smaller than the sum of its proper divisors (176025500).

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

91144900 is a wasteful number, since it uses less digits than its factorization.

91144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 91144900 is about 9546.9838168921. The cubic root of 91144900 is about 450.0327548174.

It can be divided in two parts, 91 and 144900, that added together give a triangular number (144991 = T₅₃₈).

The spelling of 91144900 in words is "ninety-one million, one hundred forty-four thousand, nine hundred".