102214000 has 160 divisors (see below), whose sum is σ = 290160000. Its totient is φ = 34809600.

The previous prime is 102213971. The next prime is 102214003. The reversal of 102214000 is 412201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102214003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685926 + ... + 686074.

It is an arithmetic number, because the mean of its divisors is an integer number (1813500).

Almost surely, 2^102214000 is an apocalyptic number.

102214000 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 102214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080000).

102214000 is an abundant number, since it is smaller than the sum of its proper divisors (187946000).

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

102214000 is an equidigital number, since it uses as much as digits as its factorization.

102214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102214000 is about 10110.0939659333. The cubic root of 102214000 is about 467.5594022148.

Adding to 102214000 its reverse (412201), we get a palindrome (102626201).

The spelling of 102214000 in words is "one hundred two million, two hundred fourteen thousand".