1106047162700 has 72 divisors (see below), whose sum is σ = 2439900336384. Its totient is φ = 435089088000.

The previous prime is 1106047162681. The next prime is 1106047162709. The reversal of 1106047162700 is 72617406011.

It is a happy number.

It is a super-2 number, since 2×1106047162700² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1106047162709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44645717 + ... + 44670483.

It is an arithmetic number, because the mean of its divisors is an integer number (33887504672).

Almost surely, 2^{1106047162700} is an apocalyptic number.

1106047162700 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 1106047162700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219950168192).

1106047162700 is an abundant number, since it is smaller than the sum of its proper divisors (1333853173684).

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

1106047162700 is a wasteful number, since it uses less digits than its factorization.

1106047162700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32163 (or 32156 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 1106047162700 in words is "one trillion, one hundred six billion, forty-seven million, one hundred sixty-two thousand, seven hundred".