11012106635145 has 648 divisors, whose sum is σ = 26105968292040. Its totient is φ = 4273226496000.

The previous prime is 11012106635099. The next prime is 11012106635147. The reversal of 11012106635145 is 54153660121011.

11012106635145 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 1 + 0 + 6 + 635 + 14 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 948473418816 + 10063633216329 = 973896^2 + 3172323^2 .

It is not a de Polignac number, because 11012106635145 - 2¹¹ = 11012106633097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012106635147) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 7435587805 + ... + 7435589285.

It is an arithmetic number, because the mean of its divisors is an integer number (40286988105).

Almost surely, 2^{11012106635145} is an apocalyptic number.

11012106635145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11012106635145 is an abundant number, since it is smaller than the sum of its proper divisors (15093861656895).

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

11012106635145 is a wasteful number, since it uses less digits than its factorization.

11012106635145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 11012106635145 its reverse (54153660121011), we get a palindrome (65165766756156).

The spelling of 11012106635145 in words is "eleven trillion, twelve billion, one hundred six million, six hundred thirty-five thousand, one hundred forty-five".