106657725 has 12 divisors (see below), whose sum is σ = 176340896. Its totient is φ = 56884080.

The previous prime is 106657721. The next prime is 106657729. The reversal of 106657725 is 527756601.

It is an interprime number because it is at equal distance from previous prime (106657721) and next prime (106657729).

It is not a de Polignac number, because 106657725 - 2² = 106657721 is a prime.

It is a super-3 number, since 3×106657725³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106657721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 710977 + ... + 711126.

Almost surely, 2^106657725 is an apocalyptic number.

106657725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106657725 is a deficient number, since it is larger than the sum of its proper divisors (69683171).

106657725 is a wasteful number, since it uses less digits than its factorization.

106657725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422116 (or 1422111 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 106657725 is about 10327.5226942380. The cubic root of 106657725 is about 474.2391883307.

The spelling of 106657725 in words is "one hundred six million, six hundred fifty-seven thousand, seven hundred twenty-five".