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105441512525 = 5229409335533
BaseRepresentation
bin110001000110011001…
…1011100110001001101
3101002011101210211010122
41202030303130301031
53211421011400100
6120234505314325
710421640032336
oct1421463346115
9332141724118
10105441512525
1140798a91a98
12185281959a5
139c34c85a3b
145163a1128d
152b21d04985
hex188ccdcc4d

105441512525 has 24 divisors (see below), whose sum is σ = 135292862280. Its totient is φ = 81422288640.

The previous prime is 105441512483. The next prime is 105441512531. The reversal of 105441512525 is 525215144501.

It can be written as a sum of positive squares in 12 ways, for example, as 59417962564 + 46023549961 = 243758^2 + 214531^2 .

It is not a de Polignac number, because 105441512525 - 216 = 105441446989 is a prime.

It is a super-2 number, since 2×1054415125252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2949659 + ... + 2985191.

It is an arithmetic number, because the mean of its divisors is an integer number (5637202595).

Almost surely, 2105441512525 is an apocalyptic number.

It is an amenable number.

105441512525 is a deficient number, since it is larger than the sum of its proper divisors (29851349755).

105441512525 is a wasteful number, since it uses less digits than its factorization.

105441512525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39665 (or 39660 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 35.

The spelling of 105441512525 in words is "one hundred five billion, four hundred forty-one million, five hundred twelve thousand, five hundred twenty-five".

Divisors: 1 5 25 29 145 725 4093 20465 35533 102325 118697 177665 593485 888325 1030457 2967425 5152285 25761425 145436569 727182845 3635914225 4217660501 21088302505 105441512525