22073106042 has 80 divisors (see below), whose sum is σ = 53312395752. Its totient is φ = 6785648640.

The previous prime is 22073105953. The next prime is 22073106043. The reversal of 22073106042 is 24060137022.

22073106042 is a `hidden beast` number, since 2 + 20 + 7 + 31 + 0 + 604 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20095614081 + 1977491961 = 141759^2 + 44469^2 .

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 = 22073105997 and 22073106015.

It is not an unprimeable number, because it can be changed into a prime (22073106043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2727442 + ... + 2735522.

Almost surely, 2^22073106042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22073106042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26656197876).

22073106042 is an abundant number, since it is smaller than the sum of its proper divisors (31239289710).

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

22073106042 is a wasteful number, since it uses less digits than its factorization.

22073106042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405 (or 9396 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 22073106042 in words is "twenty-two billion, seventy-three million, one hundred six thousand, forty-two".