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105831045 = 32519413019
BaseRepresentation
bin1100100111011…
…01101010000101
321101010202220100
412103231222011
5204043043140
614300154313
72423356215
oct623555205
9241122810
10105831045
1154814481
122b538999
1318c05928
14100ac245
159457530
hex64eda85

105831045 has 48 divisors (see below), whose sum is σ = 197870400. Its totient is φ = 52151040.

The previous prime is 105831029. The next prime is 105831079. The reversal of 105831045 is 540138501.

It is not a de Polignac number, because 105831045 - 24 = 105831029 is a prime.

It is a super-2 number, since 2×1058310452 = 22400420171584050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33546 + ... + 36564.

It is an arithmetic number, because the mean of its divisors is an integer number (4122300).

Almost surely, 2105831045 is an apocalyptic number.

105831045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105831045 is a deficient number, since it is larger than the sum of its proper divisors (92039355).

105831045 is a wasteful number, since it uses less digits than its factorization.

105831045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105831045 is about 10287.4216886448. The cubic root of 105831045 is about 473.0107687358.

Adding to 105831045 its reverse (540138501), we get a palindrome (645969546).

It can be divided in two parts, 10583 and 1045, that added together give a triangular number (11628 = T152).

The spelling of 105831045 in words is "one hundred five million, eight hundred thirty-one thousand, forty-five".

Divisors: 1 3 5 9 15 19 41 45 57 95 123 171 205 285 369 615 779 855 1845 2337 3019 3895 7011 9057 11685 15095 27171 35055 45285 57361 123779 135855 172083 286805 371337 516249 618895 860415 1114011 1856685 2351801 2581245 5570055 7055403 11759005 21166209 35277015 105831045