1105506640 has 120 divisors (see below), whose sum is σ = 3147521760. Its totient is φ = 359057664.

The previous prime is 1105506637. The next prime is 1105506643. The reversal of 1105506640 is 466055011.

It is an interprime number because it is at equal distance from previous prime (1105506637) and next prime (1105506643).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1105506599 and 1105506608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105506643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67059 + ... + 81901.

It is an arithmetic number, because the mean of its divisors is an integer number (26229348).

Almost surely, 2^1105506640 is an apocalyptic number.

1105506640 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 1105506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573760880).

1105506640 is an abundant number, since it is smaller than the sum of its proper divisors (2042015120).

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

1105506640 is a wasteful number, since it uses less digits than its factorization.

1105506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14889 (or 14876 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1105506640 is about 33249.1599893892. The cubic root of 1105506640 is about 1033.9997929831. Note that the first 3 decimals are identical.

The spelling of 1105506640 in words is "one billion, one hundred five million, five hundred six thousand, six hundred forty".