11010600106000 has 80 divisors (see below), whose sum is σ = 29043961210368. Its totient is φ = 4003854576000.

The previous prime is 11010600105971. The next prime is 11010600106021. The reversal of 11010600106000 is 60100601011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11010600106000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250218912 + ... + 250262911.

Almost surely, 2^{11010600106000} is an apocalyptic number.

11010600106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010600106000 is an abundant number, since it is smaller than the sum of its proper divisors (18033361104368).

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

11010600106000 is a wasteful number, since it uses less digits than its factorization.

11010600106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500481857 (or 500481841 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11010600106000 its reverse (60100601011), we get a palindrome (11070700707011).

The spelling of 11010600106000 in words is "eleven trillion, ten billion, six hundred million, one hundred six thousand".