1105641540 has 144 divisors (see below), whose sum is σ = 3543758400. Its totient is φ = 278256384.

The previous prime is 1105641517. The next prime is 1105641557. The reversal of 1105641540 is 451465011.

1105641540 is a `hidden beast` number, since 1 + 10 + 5 + 641 + 5 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295754 + ... + 1296606.

Almost surely, 2^1105641540 is an apocalyptic number.

1105641540 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 1105641540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771879200).

1105641540 is an abundant number, since it is smaller than the sum of its proper divisors (2438116860).

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

1105641540 is a wasteful number, since it uses less digits than its factorization.

1105641540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1105641540 is about 33251.1885501857. The cubic root of 1105641540 is about 1034.0418493862.

The spelling of 1105641540 in words is "one billion, one hundred five million, six hundred forty-one thousand, five hundred forty".