105238155859225 has 27 divisors (see below), whose sum is σ = 138624197646487. Its totient is φ = 79237484334080.

The previous prime is 105238155859219. The next prime is 105238155859237. The reversal of 105238155859225 is 522958551832501.

The square root of 105238155859225 is 10258565.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14660222503689 + 90577933355536 = 3828867^2 + 9517244^2 .

It is not a de Polignac number, because 105238155859225 - 2⁴³ = 96442062837017 is a prime.

It is a super-2 number, since 2×105238155859225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 871917681 + ... + 872038369.

Almost surely, 2^{105238155859225} is an apocalyptic number.

105238155859225 is the 10258565-th square number.

105238155859225 is the 5129283-rd centered octagonal number.

It is an amenable number.

105238155859225 is a deficient number, since it is larger than the sum of its proper divisors (33386041787262).

105238155859225 is an frugal number, since it uses more digits than its factorization.

105238155859225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241422 (or 120711 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 61.

The spelling of 105238155859225 in words is "one hundred five trillion, two hundred thirty-eight billion, one hundred fifty-five million, eight hundred fifty-nine thousand, two hundred twenty-five".