105722642001 has 16 divisors (see below), whose sum is σ = 148796006400. Its totient is φ = 66586187088.

The previous prime is 105722641991. The next prime is 105722642009. The reversal of 105722642001 is 100246227501.

It is not a de Polignac number, because 105722642001 - 2¹⁹ = 105722117713 is a prime.

It is a super-2 number, since 2×105722642001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105722642001.

It is not an unprimeable number, because it can be changed into a prime (105722642009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562801 + ... + 2603726.

It is an arithmetic number, because the mean of its divisors is an integer number (9299750400).

Almost surely, 2^105722642001 is an apocalyptic number.

It is an amenable number.

105722642001 is a deficient number, since it is larger than the sum of its proper divisors (43073364399).

105722642001 is a wasteful number, since it uses less digits than its factorization.

105722642001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166908.

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 105722642001 its reverse (100246227501), we get a palindrome (205968869502).

The spelling of 105722642001 in words is "one hundred five billion, seven hundred twenty-two million, six hundred forty-two thousand, one".