101667625 has 16 divisors (see below), whose sum is σ = 127475712. Its totient is φ = 80953200.

The previous prime is 101667623. The next prime is 101667697. The reversal of 101667625 is 526766101.

It is a happy number.

It is not a de Polignac number, because 101667625 - 2¹ = 101667623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101667623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26584 + ... + 30166.

It is an arithmetic number, because the mean of its divisors is an integer number (7967232).

Almost surely, 2^101667625 is an apocalyptic number.

It is an amenable number.

101667625 is a deficient number, since it is larger than the sum of its proper divisors (25808087).

101667625 is an equidigital number, since it uses as much as digits as its factorization.

101667625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 101667625 is about 10083.0364970082. The cubic root of 101667625 is about 466.7248155999.

The spelling of 101667625 in words is "one hundred one million, six hundred sixty-seven thousand, six hundred twenty-five".