102213000 has 192 divisors, whose sum is σ = 355183920. Its totient is φ = 26496000.

The previous prime is 102212987. The next prime is 102213011. The reversal of 102213000 is 312201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7851204 + 94361796 = 2802^2 + 9714^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368862 + ... + 369138.

Almost surely, 2^102213000 is an apocalyptic number.

102213000 is a gapful number since it is divisible by the number (10) 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 102213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177591960).

102213000 is an abundant number, since it is smaller than the sum of its proper divisors (252970920).

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

102213000 is a wasteful number, since it uses less digits than its factorization.

102213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102213000 is about 10110.0445102878. The cubic root of 102213000 is about 467.5578774369.

Adding to 102213000 its reverse (312201), we get a palindrome (102525201).

The spelling of 102213000 in words is "one hundred two million, two hundred thirteen thousand".