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105353254025 = 52436110115907
BaseRepresentation
bin110001000011110001…
…0110001010010001001
3101001221020201211020022
41202013202301102021
53211230413112100
6120222033510225
710416515612045
oct1420742612211
9331836654208
10105353254025
1140753190088
1218502712375
139c1c8c3686
145155dd9025
152b191bde85
hex18878b1489

105353254025 has 48 divisors (see below), whose sum is σ = 137221389888. Its totient is φ = 80166240000.

The previous prime is 105353253959. The next prime is 105353254051. The reversal of 105353254025 is 520452353501.

It is a de Polignac number, because none of the positive numbers 2k-105353254025 is a prime.

It is a super-2 number, since 2×1053532540252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6615122 + ... + 6631028.

It is an arithmetic number, because the mean of its divisors is an integer number (2858778956).

Almost surely, 2105353254025 is an apocalyptic number.

It is an amenable number.

105353254025 is a deficient number, since it is larger than the sum of its proper divisors (31868135863).

105353254025 is a wasteful number, since it uses less digits than its factorization.

105353254025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16122 (or 16117 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 105353254025 in words is "one hundred five billion, three hundred fifty-three million, two hundred fifty-four thousand, twenty-five".

Divisors: 1 5 25 43 61 101 215 305 505 1075 1525 2525 2623 4343 6161 13115 15907 21715 30805 65575 79535 108575 154025 264923 397675 684001 970327 1324615 1606607 3420005 4851635 6623075 8033035 17100025 24258175 40165175 41724061 69084101 98003027 208620305 345420505 490015135 1043101525 1727102525 2450075675 4214130161 21070650805 105353254025