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105245984525 = 521121031512237
BaseRepresentation
bin110001000000100100…
…1100100011100001101
3101001122202212222010212
41202001021210130031
53211020433001100
6120203242412205
710414044052013
oct1420111443415
9331582788125
10105245984525
11406a8683a00
1218492801065
139c036060b6
145145a748b3
152b0ea80635
hex188126470d

105245984525 has 72 divisors (see below), whose sum is σ = 145864747392. Its totient is φ = 75263760000.

The previous prime is 105245984521. The next prime is 105245984603. The reversal of 105245984525 is 525489542501.

It is not a de Polignac number, because 105245984525 - 22 = 105245984521 is a prime.

It is a super-2 number, since 2×1052459845252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105245984521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47046707 + ... + 47048943.

Almost surely, 2105245984525 is an apocalyptic number.

It is an amenable number.

105245984525 is a deficient number, since it is larger than the sum of its proper divisors (40618762867).

105245984525 is a wasteful number, since it uses less digits than its factorization.

105245984525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 50.

The spelling of 105245984525 in words is "one hundred five billion, two hundred forty-five million, nine hundred eighty-four thousand, five hundred twenty-five".

Divisors: 1 5 11 25 55 103 121 151 275 515 605 755 1133 1661 2237 2575 3025 3775 5665 8305 11185 12463 15553 18271 24607 28325 41525 55925 62315 77765 91355 123035 171083 230411 270677 311575 337787 388825 456775 615175 855415 1152055 1353385 1688935 1881913 2534521 3715657 4277075 5760275 6766925 8444675 9409565 12672605 18578285 27879731 34792061 40872227 47047825 63363025 92891425 139398655 173960305 204361135 382712671 696993275 869801525 1021805675 1913563355 4209839381 9567816775 21049196905 105245984525