1101381360 has 320 divisors, whose sum is σ = 3794757120. Its totient is φ = 263208960.

The previous prime is 1101381353. The next prime is 1101381367. The reversal of 1101381360 is 631831011.

1101381360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1101381353) and next prime (1101381367).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1101381360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101381367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8039212 + ... + 8039348.

It is an arithmetic number, because the mean of its divisors is an integer number (11858616).

Almost surely, 2^1101381360 is an apocalyptic number.

1101381360 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 1101381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897378560).

1101381360 is an abundant number, since it is smaller than the sum of its proper divisors (2693375760).

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

1101381360 is a wasteful number, since it uses less digits than its factorization.

1101381360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1101381360 is about 33187.0661553564. The cubic root of 1101381360 is about 1032.7120409055.

The spelling of 1101381360 in words is "one billion, one hundred one million, three hundred eighty-one thousand, three hundred sixty".