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105231103425 = 345277423711
BaseRepresentation
bin110001000000001000…
…0110011010111000001
3101001121201212221010000
41202000100303113001
53211003130302200
6120201551430213
710413503422620
oct1420020632701
9331551787100
10105231103425
11406a023a578
1218489825369
139c004c5906
145143abd6b7
152b0d5e1300
hex18804335c1

105231103425 has 60 divisors (see below), whose sum is σ = 222770749696. Its totient is φ = 48105640800.

The previous prime is 105231103391. The next prime is 105231103427. The reversal of 105231103425 is 524301132501.

105231103425 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 311 + 0 + 342 + 5 = 666.

It is not a de Polignac number, because 105231103425 - 210 = 105231102401 is a prime.

It is a super-2 number, since 2×1052311034252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105231103427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3697681 + ... + 3726030.

Almost surely, 2105231103425 is an apocalyptic number.

105231103425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105231103425 is an abundant number, since it is smaller than the sum of its proper divisors (117539646271).

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

105231103425 is an equidigital number, since it uses as much as digits as its factorization.

105231103425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423740 (or 7423726 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105231103425 its reverse (524301132501), we get a palindrome (629532235926).

The spelling of 105231103425 in words is "one hundred five billion, two hundred thirty-one million, one hundred three thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1575 2025 2835 4725 14175 7423711 22271133 37118555 51965977 66813399 111355665 155897931 185592775 200440197 259829885 334066995 467693793 556778325 601320591 779489655 1002200985 1299149425 1403081379 1670334975 2338468965 3006602955 3897448275 4209244137 5011004925 7015406895 11692344825 15033014775 21046220685 35077034475 105231103425