1105737440 has 48 divisors (see below), whose sum is σ = 2620184112. Its totient is φ = 440961024.

The previous prime is 1105737439. The next prime is 1105737449. The reversal of 1105737440 is 447375011.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1105737397 and 1105737406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105737449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43667 + ... + 64173.

It is an arithmetic number, because the mean of its divisors is an integer number (54587169).

Almost surely, 2^1105737440 is an apocalyptic number.

1105737440 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 1105737440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310092056).

1105737440 is an abundant number, since it is smaller than the sum of its proper divisors (1514446672).

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

1105737440 is a wasteful number, since it uses less digits than its factorization.

1105737440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20859 (or 20851 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 1105737440 is about 33252.6305726329. The cubic root of 1105737440 is about 1034.0717450751.

The spelling of 1105737440 in words is "one billion, one hundred five million, seven hundred thirty-seven thousand, four hundred forty".