106614625 has 16 divisors (see below), whose sum is σ = 143292240. Its totient is φ = 78729600.

The previous prime is 106614589. The next prime is 106614689. The reversal of 106614625 is 526416601.

It can be written as a sum of positive squares in 8 ways, for example, as 30558784 + 76055841 = 5528^2 + 8721^2 .

It is not a de Polignac number, because 106614625 - 2¹³ = 106606433 is a prime.

It is a super-2 number, since 2×106614625² = 22733356527781250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31180 + ... + 34429.

It is an arithmetic number, because the mean of its divisors is an integer number (8955765).

Almost surely, 2^106614625 is an apocalyptic number.

It is an amenable number.

106614625 is a deficient number, since it is larger than the sum of its proper divisors (36677615).

106614625 is an equidigital number, since it uses as much as digits as its factorization.

106614625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65637 (or 65627 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 106614625 is about 10325.4358261528. The cubic root of 106614625 is about 474.1753002788.

The spelling of 106614625 in words is "one hundred six million, six hundred fourteen thousand, six hundred twenty-five".