103345217833225 has 81 divisors (see below), whose sum is σ = 135369171547029. Its totient is φ = 78259422542400.

The previous prime is 103345217833213. The next prime is 103345217833261. The reversal of 103345217833225 is 522338712543301.

The square root of 103345217833225 is 10165885.

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

It can be written as a sum of positive squares in 4 ways, for example, as 378900571401 + 102966317261824 = 615549^2 + 10147232^2 .

It is not a de Polignac number, because 103345217833225 - 2²⁵ = 103345184278793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 127429368070 + ... + 127429368880.

Almost surely, 2^{103345217833225} is an apocalyptic number.

103345217833225 is the 10165885-th square number.

103345217833225 is the 5082943-rd centered octagonal number.

It is an amenable number.

103345217833225 is a deficient number, since it is larger than the sum of its proper divisors (32023953713804).

103345217833225 is an frugal number, since it uses more digits than its factorization.

103345217833225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 103345217833225 in words is "one hundred three trillion, three hundred forty-five billion, two hundred seventeen million, eight hundred thirty-three thousand, two hundred twenty-five".