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105242204145 = 35135330193373
BaseRepresentation
bin110001000000011101…
…1001001011111110001
3101001122111202220102210
41202000323021133301
53211014001013040
6120203025402333
710413666655341
oct1420073113761
9331574686383
10105242204145
11406a6531721
12184914993a9
139c028b14a0
14514536cd21
152b0e585480
hex1880ec97f1

105242204145 has 64 divisors (see below), whose sum is σ = 184877925120. Its totient is φ = 50802066432.

The previous prime is 105242204047. The next prime is 105242204173. The reversal of 105242204145 is 541402242501.

It is not a de Polignac number, because 105242204145 - 216 = 105242138609 is a prime.

It is a super-2 number, since 2×1052422041452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31199679 + ... + 31203051.

It is an arithmetic number, because the mean of its divisors is an integer number (2888717580).

Almost surely, 2105242204145 is an apocalyptic number.

105242204145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105242204145 is a deficient number, since it is larger than the sum of its proper divisors (79635720975).

105242204145 is a wasteful number, since it uses less digits than its factorization.

105242204145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466.

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 105242204145 its reverse (541402242501), we get a palindrome (646644446646).

The spelling of 105242204145 in words is "one hundred five billion, two hundred forty-two million, two hundred four thousand, one hundred forty-five".

Divisors: 1 3 5 13 15 39 53 65 159 195 265 689 795 2067 3019 3373 3445 9057 10119 10335 15095 16865 39247 43849 45285 50595 117741 131547 160007 178769 196235 219245 480021 536307 588705 657735 800035 893845 2080091 2323997 2400105 2681535 6240273 6971991 10183087 10400455 11619985 30549261 31201365 34859955 50915435 132380131 152746305 397140393 539703611 661900655 1619110833 1985701965 2698518055 7016146943 8095554165 21048440829 35080734715 105242204145