11101640 has 64 divisors (see below), whose sum is σ = 28460160. Its totient is φ = 3857920.

The previous prime is 11101619. The next prime is 11101661. The reversal of 11101640 is 4610111.

It is an interprime number because it is at equal distance from previous prime (11101619) and next prime (11101661).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9572 + ... + 10668.

It is an arithmetic number, because the mean of its divisors is an integer number (444690).

Almost surely, 2^11101640 is an apocalyptic number.

11101640 is a gapful number since it is divisible by the number (10) 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 11101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230080).

11101640 is an abundant number, since it is smaller than the sum of its proper divisors (17358520).

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

11101640 is a wasteful number, since it uses less digits than its factorization.

11101640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 11101640 is about 3331.9123637935. The cubic root of 11101640 is about 223.0808959322.

Adding to 11101640 its reverse (4610111), we get a palindrome (15711751).

The spelling of 11101640 in words is "eleven million, one hundred one thousand, six hundred forty".