102501 has 12 divisors (see below), whose sum is σ = 169312. Its totient is φ = 58536.

The previous prime is 102499. The next prime is 102503. The reversal of 102501 is 105201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102499) and next prime (102503).

It is not a de Polignac number, because 102501 - 2¹ = 102499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a Duffinian number.

102501 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102501.

It is not an unprimeable number, because it can be changed into a prime (102503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751 + ... + 876.

2¹⁰²⁵⁰¹ is an apocalyptic number.

It is an amenable number.

102501 is a deficient number, since it is larger than the sum of its proper divisors (66811).

102501 is a wasteful number, since it uses less digits than its factorization.

102501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 102501 is about 320.1577736055. The cubic root of 102501 is about 46.7996603087.

Adding to 102501 its reverse (105201), we get a palindrome (207702).

The spelling of 102501 in words is "one hundred two thousand, five hundred one".