10606101105042 has 64 divisors (see below), whose sum is σ = 24594416363520. Its totient is φ = 3381578600400.

The previous prime is 10606101105007. The next prime is 10606101105073. The reversal of 10606101105042 is 24050110160601.

10606101105042 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 610 + 1 + 1 + 0 + 5 + 0 + 42 = 666.

It is a super-2 number, since 2×10606101105042² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10606101104997 and 10606101105015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83785417 + ... + 83911907.

It is an arithmetic number, because the mean of its divisors is an integer number (384287755680).

Almost surely, 2^{10606101105042} is an apocalyptic number.

10606101105042 is an abundant number, since it is smaller than the sum of its proper divisors (13988315258478).

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

10606101105042 is a wasteful number, since it uses less digits than its factorization.

10606101105042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194036 (or 194030 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10606101105042 its reverse (24050110160601), we get a palindrome (34656211265643).

The spelling of 10606101105042 in words is "ten trillion, six hundred six billion, one hundred one million, one hundred five thousand, forty-two".