101625 has 16 divisors (see below), whose sum is σ = 169728. Its totient is φ = 54000.

The previous prime is 101611. The next prime is 101627. The reversal of 101625 is 526101.

It is not a de Polignac number, because 101625 - 2⁶ = 101561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101625.

It is not an unprimeable number, because it can be changed into a prime (101627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (10608).

2¹⁰¹⁶²⁵ is an apocalyptic number.

101625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101625 is a deficient number, since it is larger than the sum of its proper divisors (68103).

101625 is an equidigital number, since it uses as much as digits as its factorization.

101625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 101625 is about 318.7867625859. The cubic root of 101625 is about 46.6659580391.

Adding to 101625 its reverse (526101), we get a palindrome (627726).

The spelling of 101625 in words is "one hundred one thousand, six hundred twenty-five".