1135824105 has 16 divisors (see below), whose sum is σ = 1957112640. Its totient is φ = 559174848.

The previous prime is 1135824101. The next prime is 1135824127. The reversal of 1135824105 is 5014285311.

It is not a de Polignac number, because 1135824105 - 2² = 1135824101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1135824101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2912175 + ... + 2912564.

It is an arithmetic number, because the mean of its divisors is an integer number (122319540).

Almost surely, 2^1135824105 is an apocalyptic number.

1135824105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1135824105 is a deficient number, since it is larger than the sum of its proper divisors (821288535).

1135824105 is a wasteful number, since it uses less digits than its factorization.

1135824105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824760.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1135824105 is about 33701.9896296940. The cubic root of 1135824105 is about 1043.3668330476.

The spelling of 1135824105 in words is "one billion, one hundred thirty-five million, eight hundred twenty-four thousand, one hundred five".