103835395225 has 45 divisors (see below), whose sum is σ = 137419254363. Its totient is φ = 77831352960.

The previous prime is 103835395211. The next prime is 103835395229. The reversal of 103835395225 is 522593538301.

The square root of 103835395225 is 322235.

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

It can be written as a sum of positive squares in 7 ways, for example, as 11314789641 + 92520605584 = 106371^2 + 304172^2 .

It is not a de Polignac number, because 103835395225 - 2⁵ = 103835395193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103835395229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 465629464 + ... + 465629686.

Almost surely, 2^103835395225 is an apocalyptic number.

103835395225 is the 322235-th square number.

103835395225 is the 161118-th centered octagonal number.

It is an amenable number.

103835395225 is a deficient number, since it is larger than the sum of its proper divisors (33583859138).

103835395225 is an frugal number, since it uses more digits than its factorization.

103835395225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 103835395225 in words is "one hundred three billion, eight hundred thirty-five million, three hundred ninety-five thousand, two hundred twenty-five".