106105566681051 has 64 divisors (see below), whose sum is σ = 173821085368320. Its totient is φ = 56216676602880.

The previous prime is 106105566681041. The next prime is 106105566681073. The reversal of 106105566681051 is 150186665501601.

It is not a de Polignac number, because 106105566681051 - 2⁹ = 106105566680539 is a prime.

It is a super-2 number, since 2×106105566681051² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106105566680985 and 106105566681003.

It is not an unprimeable number, because it can be changed into a prime (106105566681001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759557931 + ... + 759697611.

It is an arithmetic number, because the mean of its divisors is an integer number (2715954458880).

Almost surely, 2^{106105566681051} is an apocalyptic number.

106105566681051 is a deficient number, since it is larger than the sum of its proper divisors (67715518687269).

106105566681051 is a wasteful number, since it uses less digits than its factorization.

106105566681051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180264.

The product of its (nonzero) digits is 1296000, while the sum is 51.

The spelling of 106105566681051 in words is "one hundred six trillion, one hundred five billion, five hundred sixty-six million, six hundred eighty-one thousand, fifty-one".