1106325131760 has 480 divisors, whose sum is σ = 3884489376768. Its totient is φ = 292622699520.

The previous prime is 1106325131729. The next prime is 1106325131773. The reversal of 1106325131760 is 671315236011.

1106325131760 is a `hidden beast` number, since 1 + 1 + 0 + 632 + 5 + 1 + 3 + 17 + 6 + 0 = 666.

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

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, 1965053239 + ... + 1965053801.

Almost surely, 2^{1106325131760} is an apocalyptic number.

1106325131760 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 1106325131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942244688384).

1106325131760 is an abundant number, since it is smaller than the sum of its proper divisors (2778164245008).

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

1106325131760 is a wasteful number, since it uses less digits than its factorization.

1106325131760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1106325131760 in words is "one trillion, one hundred six billion, three hundred twenty-five million, one hundred thirty-one thousand, seven hundred sixty".