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105861376606 = 29719327110433
BaseRepresentation
bin110001010010111010…
…1000110101001011110
3101010020122212010101011
41202211311012221132
53213301003022411
6120344304405434
710435225566016
oct1424565065136
9333218763334
10105861376606
1140993a950a7
121862491687a
139ca0c6091b
1451a36a6c46
152b48addc21
hex18a5d46a5e

105861376606 has 32 divisors (see below), whose sum is σ = 161870905728. Its totient is φ = 51916308480.

The previous prime is 105861376603. The next prime is 105861376609. The reversal of 105861376606 is 606673168501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105861376603) and next prime (105861376609).

It is a super-2 number, since 2×1058613766062 (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 105861376606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105861376603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10141566 + ... + 10151998.

It is an arithmetic number, because the mean of its divisors is an integer number (5058465804).

Almost surely, 2105861376606 is an apocalyptic number.

105861376606 is a deficient number, since it is larger than the sum of its proper divisors (56009529122).

105861376606 is a wasteful number, since it uses less digits than its factorization.

105861376606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 105861376606 in words is "one hundred five billion, eight hundred sixty-one million, three hundred seventy-six thousand, six hundred six".

Divisors: 1 2 97 193 194 271 386 542 10433 18721 20866 26287 37442 52303 52574 104606 1012001 2013569 2024002 2827343 4027138 5073391 5654686 10146782 195316193 274252271 390632386 545677199 548504542 1091354398 52930688303 105861376606