106707681145 has 32 divisors (see below), whose sum is σ = 138800057760. Its totient is φ = 78286356480.

The previous prime is 106707681137. The next prime is 106707681181. The reversal of 106707681145 is 541186707601.

It can be written as a sum of positive squares in 16 ways, for example, as 56053877049 + 50653804096 = 236757^2 + 225064^2 .

It is not a de Polignac number, because 106707681145 - 2³ = 106707681137 is a prime.

It is a super-2 number, since 2×106707681145² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106707681095 and 106707681104.

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, 6490035 + ... + 6506455.

It is an arithmetic number, because the mean of its divisors is an integer number (4337501805).

Almost surely, 2^106707681145 is an apocalyptic number.

It is an amenable number.

106707681145 is a deficient number, since it is larger than the sum of its proper divisors (32092376615).

106707681145 is a wasteful number, since it uses less digits than its factorization.

106707681145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17085.

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 106707681145 in words is "one hundred six billion, seven hundred seven million, six hundred eighty-one thousand, one hundred forty-five".