10214134225 has 81 divisors (see below), whose sum is σ = 14282475961. Its totient is φ = 7244339200.

The previous prime is 10214134213. The next prime is 10214134277. The reversal of 10214134225 is 52243141201.

The square root of 10214134225 is 101065.

It is a perfect power (a square), and thus also a powerful number.

10214134225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 40 ways, for example, as 8765266129 + 1448868096 = 93623^2 + 38064^2 .

It is not a de Polignac number, because 10214134225 - 2¹³ = 10214126033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10214134225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 249125205 + ... + 249125245.

Almost surely, 2^10214134225 is an apocalyptic number.

10214134225 is the 101065-th square number.

10214134225 is the 50533-rd centered octagonal number.

It is an amenable number.

10214134225 is a deficient number, since it is larger than the sum of its proper divisors (4068341736).

10214134225 is an equidigital number, since it uses as much as digits as its factorization.

10214134225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Multiplying 10214134225 by its sum of digits (25), we get a square (255353355625 = 505325²).

10214134225 divided by its sum of digits (25) gives a square (408565369 = 20213²).

Adding to 10214134225 its reverse (52243141201), we get a palindrome (62457275426).

The spelling of 10214134225 in words is "ten billion, two hundred fourteen million, one hundred thirty-four thousand, two hundred twenty-five".