1105271709696 has 1344 divisors, whose sum is σ = 4245718671360. Its totient is φ = 280921374720.

The previous prime is 1105271709683. The next prime is 1105271709743. The reversal of 1105271709696 is 6969071725011.

1105271709696 is a `hidden beast` number, since 1 + 10 + 527 + 17 + 0 + 9 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8702926785 + ... + 8702926911.

Almost surely, 2^{1105271709696} is an apocalyptic number.

1105271709696 is a gapful number since it is divisible by the number (16) 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 1105271709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122859335680).

1105271709696 is an abundant number, since it is smaller than the sum of its proper divisors (3140446961664).

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

1105271709696 is a wasteful number, since it uses less digits than its factorization.

1105271709696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 1105271709696 in words is "one trillion, one hundred five billion, two hundred seventy-one million, seven hundred nine thousand, six hundred ninety-six".