11380905 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 5225472.

The previous prime is 11380861. The next prime is 11380907. The reversal of 11380905 is 50908311.

11380905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11380905 - 2⁹ = 11380393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11380907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392431 + ... + 392459.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^11380905 is an apocalyptic number.

11380905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11380905 is an abundant number, since it is smaller than the sum of its proper divisors (12206295).

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

11380905 is a wasteful number, since it uses less digits than its factorization.

11380905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11380905 is about 3373.5596926689. The cubic root of 11380905 is about 224.9359817869.

It can be divided in two parts, 113 and 80905, that added together give a palindrome (81018).

The spelling of 11380905 in words is "eleven million, three hundred eighty thousand, nine hundred five".