106771744705 has 32 divisors (see below), whose sum is σ = 136570813344. Its totient is φ = 79856664576.

The previous prime is 106771744679. The next prime is 106771744727. The reversal of 106771744705 is 507447177601.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 45063222961 + 61708521744 = 212281^2 + 248412^2 .

It is a cyclic number.

It is not a de Polignac number, because 106771744705 - 2⁷ = 106771744577 is a prime.

It is a super-2 number, since 2×106771744705² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 7788417 + ... + 7802113.

It is an arithmetic number, because the mean of its divisors is an integer number (4267837917).

Almost surely, 2^106771744705 is an apocalyptic number.

It is an amenable number.

106771744705 is a deficient number, since it is larger than the sum of its proper divisors (29799068639).

106771744705 is a wasteful number, since it uses less digits than its factorization.

106771744705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14325.

The product of its (nonzero) digits is 1152480, while the sum is 49.

The spelling of 106771744705 in words is "one hundred six billion, seven hundred seventy-one million, seven hundred forty-four thousand, seven hundred five".