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105413443425 = 32522916155317
BaseRepresentation
bin110001000101100100…
…0010111111101100001
3101002002102222202120100
41202023020113331201
53211341320142200
6120232023533013
710421146325253
oct1421310277541
9332072882510
10105413443425
1140784160294
121851a8ba169
139c2c2088c4
14515ddc5cd3
152b1e60cd00
hex188b217f61

105413443425 has 36 divisors (see below), whose sum is σ = 195317794620. Its totient is φ = 54281861760.

The previous prime is 105413443381. The next prime is 105413443433. The reversal of 105413443425 is 524344314501.

105413443425 is a `hidden beast` number, since 1 + 0 + 541 + 34 + 43 + 42 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 841406049 + 104572037376 = 29007^2 + 323376^2 .

It is not a de Polignac number, because 105413443425 - 28 = 105413443169 is a prime.

It is a super-2 number, since 2×1054134434252 (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 105413443425.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8071134 + ... + 8084183.

It is an arithmetic number, because the mean of its divisors is an integer number (5425494295).

Almost surely, 2105413443425 is an apocalyptic number.

105413443425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105413443425 is a deficient number, since it is larger than the sum of its proper divisors (89904351195).

105413443425 is a wasteful number, since it uses less digits than its factorization.

105413443425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16155362 (or 16155354 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 105413443425 its reverse (524344314501), we get a palindrome (629757757926).

The spelling of 105413443425 in words is "one hundred five billion, four hundred thirteen million, four hundred forty-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 16155317 48465951 80776585 145397853 242329755 403882925 468504193 726989265 1211648775 1405512579 2342520965 3634946325 4216537737 7027562895 11712604825 21082688685 35137814475 105413443425