1106145540 has 72 divisors (see below), whose sum is σ = 3362748480. Its totient is φ = 294318144.

The previous prime is 1106145533. The next prime is 1106145559. The reversal of 1106145540 is 455416011.

1106145540 is a `hidden beast` number, since 1 + 1 + 0 + 614 + 5 + 5 + 40 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77481 + ... + 90639.

It is an arithmetic number, because the mean of its divisors is an integer number (46704840).

Almost surely, 2^1106145540 is an apocalyptic number.

1106145540 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 1106145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681374240).

1106145540 is an abundant number, since it is smaller than the sum of its proper divisors (2256602940).

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

1106145540 is a wasteful number, since it uses less digits than its factorization.

1106145540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641 (or 13636 counting only the distinct ones).

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

The square root of 1106145540 is about 33258.7663631711. The cubic root of 1106145540 is about 1034.1989460897.

The spelling of 1106145540 in words is "one billion, one hundred six million, one hundred forty-five thousand, five hundred forty".