102214125 has 96 divisors (see below), whose sum is σ = 206125920. Its totient is φ = 48384000.

The previous prime is 102214117. The next prime is 102214141. The reversal of 102214125 is 521412201.

102214125 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 16 ways, for example, as 76842756 + 25371369 = 8766^2 + 5037^2 .

It is not a de Polignac number, because 102214125 - 2³ = 102214117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102214098 and 102214107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424005 + ... + 424245.

It is an arithmetic number, because the mean of its divisors is an integer number (2147145).

Almost surely, 2^102214125 is an apocalyptic number.

102214125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102214125 is an abundant number, since it is smaller than the sum of its proper divisors (103911795).

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

102214125 is a wasteful number, since it uses less digits than its factorization.

102214125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102214125 is about 10110.1001478719. The cubic root of 102214125 is about 467.5595928113.

Adding to 102214125 its reverse (521412201), we get a palindrome (623626326).

The spelling of 102214125 in words is "one hundred two million, two hundred fourteen thousand, one hundred twenty-five".