102212628 has 96 divisors (see below), whose sum is σ = 292992000. Its totient is φ = 27645408.

The previous prime is 102212623. The next prime is 102212633. The reversal of 102212628 is 826212201.

It is an interprime number because it is at equal distance from previous prime (102212623) and next prime (102212633).

It is a junction number, because it is equal to n+sod(n) for n = 102212598 and 102212607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77551 + ... + 78857.

It is an arithmetic number, because the mean of its divisors is an integer number (3052000).

Almost surely, 2^102212628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146496000).

102212628 is an abundant number, since it is smaller than the sum of its proper divisors (190779372).

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

102212628 is a wasteful number, since it uses less digits than its factorization.

102212628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 102212628 is about 10110.0261127259. The cubic root of 102212628 is about 467.5573102170.

Adding to 102212628 its reverse (826212201), we get a palindrome (928424829).

The spelling of 102212628 in words is "one hundred two million, two hundred twelve thousand, six hundred twenty-eight".