106125697 has 12 divisors (see below), whose sum is σ = 112814100. Its totient is φ = 99814752.

The previous prime is 106125689. The next prime is 106125727. The reversal of 106125697 is 796521601.

It can be written as a sum of positive squares in 2 ways, for example, as 17313921 + 88811776 = 4161^2 + 9424^2 .

It is not a de Polignac number, because 106125697 - 2³ = 106125689 is a prime.

It is a super-3 number, since 3×106125697³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106125637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52803 + ... + 54775.

It is an arithmetic number, because the mean of its divisors is an integer number (9401175).

Almost surely, 2^106125697 is an apocalyptic number.

It is an amenable number.

106125697 is a deficient number, since it is larger than the sum of its proper divisors (6688403).

106125697 is a wasteful number, since it uses less digits than its factorization.

106125697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 106125697 is about 10301.7327183343. The cubic root of 106125697 is about 473.4493433273.

The spelling of 106125697 in words is "one hundred six million, one hundred twenty-five thousand, six hundred ninety-seven".