1101406320 has 180 divisors, whose sum is σ = 4302927720. Its totient is φ = 251741952.

The previous prime is 1101406309. The next prime is 1101406337. The reversal of 1101406320 is 236041011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101406293 and 1101406302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19671 + ... + 50889.

It is an arithmetic number, because the mean of its divisors is an integer number (23905154).

Almost surely, 2^1101406320 is an apocalyptic number.

1101406320 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 1101406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151463860).

1101406320 is an abundant number, since it is smaller than the sum of its proper divisors (3201521400).

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

1101406320 is a wasteful number, since it uses less digits than its factorization.

1101406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31252 (or 31236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1101406320 is about 33187.4422033395. The cubic root of 1101406320 is about 1032.7198421082.

Adding to 1101406320 its reverse (236041011), we get a palindrome (1337447331).

The spelling of 1101406320 in words is "one billion, one hundred one million, four hundred six thousand, three hundred twenty".