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105914448025 = 52650892
BaseRepresentation
bin110001010100011111…
…1100011100010011001
3101010101100201102200021
41202220333203202121
53213403044314100
6120353442110441
710436441645131
oct1425077434231
9333340642607
10105914448025
1140a10a43481
121863a64b421
139cabc53029
1451aa75dac1
152b4d5c3a1a
hex18a8fe3899

105914448025 has 9 divisors (see below), whose sum is σ = 131335933341. Its totient is φ = 84730256640.

The previous prime is 105914447987. The next prime is 105914448041. The reversal of 105914448025 is 520844419501.

The square root of 105914448025 is 325445.

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 31884744969 + 74029703056 = 178563^2 + 272084^2 .

It is not a de Polignac number, because 105914448025 - 211 = 105914445977 is a prime.

It is a super-2 number, since 2×1059144480252 (a number of 23 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 8 ways as a sum of consecutive naturals, for example, 1594681 + ... + 1659769.

Almost surely, 2105914448025 is an apocalyptic number.

105914448025 is the 325445-th square number.

105914448025 is the 162723-rd centered octagonal number.

It is an amenable number.

105914448025 is a deficient number, since it is larger than the sum of its proper divisors (25421485316).

105914448025 is an frugal number, since it uses more digits than its factorization.

105914448025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130188 (or 65094 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 105914448025 in words is "one hundred five billion, nine hundred fourteen million, four hundred forty-eight thousand, twenty-five".

Divisors: 1 5 25 65089 325445 1627225 4236577921 21182889605 105914448025