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105485470245 = 32519123374819
BaseRepresentation
bin110001000111101101…
…1001000101000100101
3101002021110112002210100
41202033123020220211
53212013240021440
6120243115414313
710423012463061
oct1421733105045
9332243462710
10105485470245
1140810886091
121853aa54399
139c41106b1c
1451697b4aa1
152b25ad9230
hex188f6c8a25

105485470245 has 24 divisors (see below), whose sum is σ = 192464719200. Its totient is φ = 53297921376.

The previous prime is 105485470231. The next prime is 105485470289. The reversal of 105485470245 is 542074584501.

105485470245 is a `hidden beast` number, since 10 + 54 + 8 + 547 + 0 + 2 + 45 = 666.

It is not a de Polignac number, because 105485470245 - 25 = 105485470213 is a prime.

It is a super-2 number, since 2×1054854702452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105485470245.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61686555 + ... + 61688264.

It is an arithmetic number, because the mean of its divisors is an integer number (8019363300).

Almost surely, 2105485470245 is an apocalyptic number.

105485470245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105485470245 is a deficient number, since it is larger than the sum of its proper divisors (86979248955).

105485470245 is a wasteful number, since it uses less digits than its factorization.

105485470245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123374849 (or 123374846 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 105485470245 in words is "one hundred five billion, four hundred eighty-five million, four hundred seventy thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 123374819 370124457 616874095 1110373371 1850622285 2344121561 5551866855 7032364683 11720607805 21097094049 35161823415 105485470245