106800057 has 54 divisors (see below), whose sum is σ = 194454702. Its totient is φ = 56294784.

The previous prime is 106800049. The next prime is 106800059. The reversal of 106800057 is 750008601.

It can be written as a sum of positive squares in 3 ways, for example, as 3493161 + 103306896 = 1869^2 + 10164^2 .

It is not a de Polignac number, because 106800057 - 2³ = 106800049 is a prime.

It is a super-2 number, since 2×106800057² = 22812504350406498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106800057.

It is not an unprimeable number, because it can be changed into a prime (106800059) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 73813 + ... + 75245.

It is an arithmetic number, because the mean of its divisors is an integer number (3601013).

Almost surely, 2^106800057 is an apocalyptic number.

It is an amenable number.

106800057 is a deficient number, since it is larger than the sum of its proper divisors (87654645).

106800057 is a wasteful number, since it uses less digits than its factorization.

106800057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106800057 is about 10334.4113039882. The cubic root of 106800057 is about 474.4500479098.

Adding to 106800057 its reverse (750008601), we get a palindrome (856808658).

The spelling of 106800057 in words is "one hundred six million, eight hundred thousand, fifty-seven".