106005110051051 has 8 divisors (see below), whose sum is σ = 107293364821440. Its totient is φ = 104719014972352.

The previous prime is 106005110051033. The next prime is 106005110051053. The reversal of 106005110051051 is 150150011500601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106005110051051 - 2¹⁴ = 106005110034667 is a prime.

It is a super-2 number, since 2×106005110051051² (a number of 29 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 106005110051051.

It is not an unprimeable number, because it can be changed into a prime (106005110051053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539824160 + ... + 540020493.

It is an arithmetic number, because the mean of its divisors is an integer number (13411670602680).

Almost surely, 2^{106005110051051} is an apocalyptic number.

106005110051051 is a deficient number, since it is larger than the sum of its proper divisors (1288254770389).

106005110051051 is a wasteful number, since it uses less digits than its factorization.

106005110051051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079845845.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 106005110051051 its reverse (150150011500601), we get a palindrome (256155121551652).

The spelling of 106005110051051 in words is "one hundred six trillion, five billion, one hundred ten million, fifty-one thousand, fifty-one".