102612 has 24 divisors (see below), whose sum is σ = 254016. Its totient is φ = 32128.

The previous prime is 102611. The next prime is 102643. The reversal of 102612 is 216201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102611) 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 7 ways as a sum of consecutive naturals, for example, 48 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹⁰²⁶¹² is an apocalyptic number.

102612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

102612 is an abundant number, since it is smaller than the sum of its proper divisors (151404).

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

102612 is a wasteful number, since it uses less digits than its factorization.

102612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102612 is about 320.3310787295. The cubic root of 102612 is about 46.8165475855.

Adding to 102612 its reverse (216201), we get a palindrome (318813).

The spelling of 102612 in words is "one hundred two thousand, six hundred twelve".