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105520422225 = 3526722792507
BaseRepresentation
bin110001001000110000…
…0011101110101010001
3101002100220021211220010
41202101200131311101
53212101212002400
6120250404505133
710423615534641
oct1422140356521
9332326254803
10105520422225
1140829589019
121854a6ab1a9
139c48423a7a
1451702b2521
152b28be0450
hex189181dd51

105520422225 has 48 divisors (see below), whose sum is σ = 177846259968. Its totient is φ = 55192779840.

The previous prime is 105520422223. The next prime is 105520422229. The reversal of 105520422225 is 522224025501.

It is not a de Polignac number, because 105520422225 - 21 = 105520422223 is a prime.

It is a super-2 number, since 2×1055204222252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105520422192 and 105520422201.

It is not an unprimeable number, because it can be changed into a prime (105520422223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094422 + ... + 1186928.

It is an arithmetic number, because the mean of its divisors is an integer number (3705130416).

Almost surely, 2105520422225 is an apocalyptic number.

105520422225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105520422225 is a deficient number, since it is larger than the sum of its proper divisors (72325837743).

105520422225 is a wasteful number, since it uses less digits than its factorization.

105520422225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92814 (or 92809 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 105520422225 its reverse (522224025501), we get a palindrome (627744447726).

The spelling of 105520422225 in words is "one hundred five billion, five hundred twenty million, four hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 67 75 201 227 335 681 1005 1135 1675 3405 5025 5675 15209 17025 45627 76045 92507 228135 277521 380225 462535 1140675 1387605 2312675 6197969 6938025 18593907 20999089 30989845 62997267 92969535 104995445 154949225 314986335 464847675 524977225 1406938963 1574931675 4220816889 7034694815 21104084445 35173474075 105520422225