1106051744520 has 192 divisors, whose sum is σ = 3671931884400. Its totient is φ = 288636241920.

The previous prime is 1106051744519. The next prime is 1106051744537. The reversal of 1106051744520 is 254471506011.

1106051744520 is a `hidden beast` number, since 1 + 1 + 0 + 60 + 5 + 1 + 74 + 4 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 850685250276 + 255366494244 = 922326^2 + 505338^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 7347610 + ... + 7496630.

Almost surely, 2^{1106051744520} is an apocalyptic number.

1106051744520 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 1106051744520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835965942200).

1106051744520 is an abundant number, since it is smaller than the sum of its proper divisors (2565880139880).

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

1106051744520 is a wasteful number, since it uses less digits than its factorization.

1106051744520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149480 (or 149473 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1106051744520 in words is "one trillion, one hundred six billion, fifty-one million, seven hundred forty-four thousand, five hundred twenty".