1106685720 has 512 divisors, whose sum is σ = 4561920000. Its totient is φ = 232906752.

The previous prime is 1106685691. The next prime is 1106685721. The reversal of 1106685720 is 275866011.

1106685720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106685721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10153026 + ... + 10153134.

It is an arithmetic number, because the mean of its divisors is an integer number (8910000).

Almost surely, 2^1106685720 is an apocalyptic number.

1106685720 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 1106685720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280960000).

1106685720 is an abundant number, since it is smaller than the sum of its proper divisors (3455234280).

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

1106685720 is a wasteful number, since it uses less digits than its factorization.

1106685720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1106685720 is about 33266.8862384203. The cubic root of 1106685720 is about 1034.3672671206.

The spelling of 1106685720 in words is "one billion, one hundred six million, six hundred eighty-five thousand, seven hundred twenty".