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105207074427 = 3713596531761
BaseRepresentation
bin110000111111011010…
…1001000111001111011
3101001120001200010112010
41201332311020321323
53210431002340202
6120155332421003
710413062243340
oct1417665107173
9331501603463
10105207074427
11406887181a4
1218481777763
139bc8531680
1451408267c7
152b0b44676c
hex187ed48e7b

105207074427 has 32 divisors (see below), whose sum is σ = 175573762560. Its totient is φ = 54553259520.

The previous prime is 105207074363. The next prime is 105207074491. The reversal of 105207074427 is 724470702501.

It is an interprime number because it is at equal distance from previous prime (105207074363) and next prime (105207074491).

It is not a de Polignac number, because 105207074427 - 26 = 105207074363 is a prime.

It is a super-2 number, since 2×1052070744272 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (105207074527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3249774 + ... + 3281987.

It is an arithmetic number, because the mean of its divisors is an integer number (5486680080).

Almost surely, 2105207074427 is an apocalyptic number.

105207074427 is a deficient number, since it is larger than the sum of its proper divisors (70366688133).

105207074427 is a wasteful number, since it uses less digits than its factorization.

105207074427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531843.

The product of its (nonzero) digits is 109760, while the sum is 39.

Adding to 105207074427 its reverse (724470702501), we get a palindrome (829677776928).

The spelling of 105207074427 in words is "one hundred five billion, two hundred seven million, seventy-four thousand, four hundred twenty-seven".

Divisors: 1 3 7 13 21 39 59 91 177 273 413 767 1239 2301 5369 16107 6531761 19595283 45722327 84912893 137166981 254738679 385373899 594390251 1156121697 1783170753 2697617293 5009860687 8092851879 15029582061 35069024809 105207074427