1106824787607 has 32 divisors (see below), whose sum is σ = 1884792559104. Its totient is φ = 560950156800.

The previous prime is 1106824787597. The next prime is 1106824787647. The reversal of 1106824787607 is 7067874286011.

It is not a de Polignac number, because 1106824787607 - 2¹⁴ = 1106824771223 is a prime.

It is a super-2 number, since 2×1106824787607² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106824787647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58422838 + ... + 58441779.

It is an arithmetic number, because the mean of its divisors is an integer number (58899767472).

Almost surely, 2^{1106824787607} is an apocalyptic number.

1106824787607 is a deficient number, since it is larger than the sum of its proper divisors (777967771497).

1106824787607 is a wasteful number, since it uses less digits than its factorization.

1106824787607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116864679.

The product of its (nonzero) digits is 6322176, while the sum is 57.

It can be divided in two parts, 1106824 and 787607, that added together give a triangular number (1894431 = T₁₉₄₆).

The spelling of 1106824787607 in words is "one trillion, one hundred six billion, eight hundred twenty-four million, seven hundred eighty-seven thousand, six hundred seven".