1105397280 has 312 divisors, whose sum is σ = 4218576012. Its totient is φ = 272097792.

The previous prime is 1105397243. The next prime is 1105397281. The reversal of 1105397280 is 827935011.

1105397280 is a `hidden beast` number, since 110 + 539 + 7 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1028869776 + 76527504 = 32076^2 + 8748^2 .

It is a tau number, because it is divible by the number of its divisors (312).

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

It is not an unprimeable number, because it can be changed into a prime (1105397281) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 85030554 + ... + 85030566.

Almost surely, 2^1105397280 is an apocalyptic number.

1105397280 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 1105397280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109288006).

1105397280 is an abundant number, since it is smaller than the sum of its proper divisors (3113178732).

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

1105397280 is an frugal number, since it uses more digits than its factorization.

1105397280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1105397280 is about 33247.5153958909. The cubic root of 1105397280 is about 1033.9656964153.

The spelling of 1105397280 in words is "one billion, one hundred five million, three hundred ninety-seven thousand, two hundred eighty".