102100 has 18 divisors (see below), whose sum is σ = 221774. Its totient is φ = 40800.

The previous prime is 102079. The next prime is 102101. The reversal of 102100 is 1201.

It can be written as a sum of positive squares in 3 ways, for example, as 8464 + 93636 = 92^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 411 + ... + 610.

2¹⁰²¹⁰⁰ is an apocalyptic number.

102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100 is an abundant number, since it is smaller than the sum of its proper divisors (119674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102100 is a wasteful number, since it uses less digits than its factorization.

102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 102100 is about 319.5309061734. The cubic root of 102100 is about 46.7385513445.

Adding to 102100 its reverse (1201), we get a palindrome (103301).

It can be divided in two parts, 102 and 100, that added together give a palindrome (202).

The spelling of 102100 in words is "one hundred two thousand, one hundred", and thus it is an iban number.