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105124503225 = 35272231243709
BaseRepresentation
bin110000111100111101…
…0001001111010111001
3101001100022022002010110
41201321322021322321
53210243333100400
6120143222534533
710411040351100
oct1417172117271
9331308262113
10105124503225
1140646050235
1218459b97449
139bb43b0b81
145133891037
152b04085e50
hex1879e89eb9

105124503225 has 72 divisors (see below), whose sum is σ = 210973014720. Its totient is φ = 45967447680.

The previous prime is 105124503203. The next prime is 105124503233. The reversal of 105124503225 is 522305421501.

It is not a de Polignac number, because 105124503225 - 26 = 105124503161 is a prime.

It is a super-2 number, since 2×1051245032252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105124503192 and 105124503201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537330 + ... + 706379.

It is an arithmetic number, because the mean of its divisors is an integer number (2930180760).

Almost surely, 2105124503225 is an apocalyptic number.

105124503225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105124503225 is an abundant number, since it is smaller than the sum of its proper divisors (105848511495).

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

105124503225 is a wasteful number, since it uses less digits than its factorization.

105124503225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243759 (or 1243747 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105124503225 its reverse (522305421501), we get a palindrome (627429924726).

The spelling of 105124503225 in words is "one hundred five billion, one hundred twenty-four million, five hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 49 69 75 105 115 147 161 175 245 345 483 525 575 735 805 1127 1225 1725 2415 3381 3675 4025 5635 12075 16905 28175 84525 1243709 3731127 6218545 8705963 18655635 26117889 28605307 31092725 43529815 60941741 85815921 93278175 130589445 143026535 182825223 200237149 217649075 304708705 429079605 600711447 652947225 715132675 914126115 1001185745 1401660043 1523543525 2145398025 3003557235 4204980129 4570630575 5005928725 7008300215 15017786175 21024900645 35041501075 105124503225