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105155503425 = 3352733916563
BaseRepresentation
bin110000111101111000…
…0011010010101000001
3101001102110122001102000
41201323300122111001
53210324302102200
6120150251214213
710411565013510
oct1417360322501
9331373561360
10105155503425
11406615a4135
1218468447369
139bba94619b
145137a40677
152b06b5b300
hex187bc1a541

105155503425 has 96 divisors (see below), whose sum is σ = 220869672960. Its totient is φ = 48049588800.

The previous prime is 105155503423. The next prime is 105155503429. The reversal of 105155503425 is 524305551501.

105155503425 is a `hidden beast` number, since 1 + 0 + 51 + 5 + 550 + 34 + 25 = 666.

It is not a de Polignac number, because 105155503425 - 21 = 105155503423 is a prime.

It is a super-2 number, since 2×1051555034252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105155503425.

It is not an unprimeable number, because it can be changed into a prime (105155503423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16019194 + ... + 16025756.

It is an arithmetic number, because the mean of its divisors is an integer number (2300725760).

Almost surely, 2105155503425 is an apocalyptic number.

105155503425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105155503425 is an abundant number, since it is smaller than the sum of its proper divisors (115714169535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105155503425 is a wasteful number, since it uses less digits than its factorization.

105155503425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980 (or 9969 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 105155503425 in words is "one hundred five billion, one hundred fifty-five million, five hundred three thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 3391 4725 6563 10173 16955 19689 23737 30519 32815 45941 50865 59067 71211 84775 91557 98445 118685 137823 152595 164075 177201 213633 229705 254325 295335 356055 413469 457785 492225 593425 640899 689115 762975 886005 1068165 1148525 1240407 1476675 1780275 2067345 2288925 3204495 3445575 4430025 5340825 6202035 10336725 16022475 22255133 31010175 66765399 111275665 155785931 200296197 333826995 467357793 556378325 600888591 778929655 1001480985 1402073379 1669134975 2336788965 3004442955 3894648275 4206220137 5007404925 7010366895 11683944825 15022214775 21031100685 35051834475 105155503425