106251256230625 has 45 divisors (see below), whose sum is σ = 145942891769829. Its totient is φ = 77271579330000.

The previous prime is 106251256230607. The next prime is 106251256230701. The reversal of 106251256230625 is 526032652152601.

The square root of 106251256230625 is 10307825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8330098488481 + 97921157742144 = 2886191^2 + 9895512^2 .

It is not a de Polignac number, because 106251256230625 - 2²⁷ = 106251122012897 is a prime.

It is a super-2 number, since 2×106251256230625² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2834633134 + ... + 2834670616.

Almost surely, 2^{106251256230625} is an apocalyptic number.

106251256230625 is the 10307825-th square number.

106251256230625 is the 5153913-rd centered octagonal number.

It is an amenable number.

106251256230625 is a deficient number, since it is larger than the sum of its proper divisors (39691635539204).

106251256230625 is an frugal number, since it uses more digits than its factorization.

106251256230625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75008 (or 37499 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 106251256230625 in words is "one hundred six trillion, two hundred fifty-one billion, two hundred fifty-six million, two hundred thirty thousand, six hundred twenty-five".