105951510225625 has 45 divisors (see below), whose sum is σ = 133130007128811. Its totient is φ = 84294511092000.

The previous prime is 105951510225569. The next prime is 105951510225667. The reversal of 105951510225625 is 526522015159501.

The square root of 105951510225625 is 10293275.

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 104351679881289 + 1599830344336 = 10215267^2 + 1264844^2 .

It is not a de Polignac number, because 105951510225625 - 2²³ = 105951501837017 is a prime.

It is a super-2 number, since 2×105951510225625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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, 51209042091 + ... + 51209044159.

Almost surely, 2^{105951510225625} is an apocalyptic number.

105951510225625 is the 10293275-th square number.

105951510225625 is the 5146638-th centered octagonal number.

It is an amenable number.

105951510225625 is a deficient number, since it is larger than the sum of its proper divisors (27178496903186).

105951510225625 is an frugal number, since it uses more digits than its factorization.

105951510225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 49.

The spelling of 105951510225625 in words is "one hundred five trillion, nine hundred fifty-one billion, five hundred ten million, two hundred twenty-five thousand, six hundred twenty-five".