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105144237 = 3411199593
BaseRepresentation
bin1100100010001…
…01111110101101
321022211212210000
412101011332231
5203404103422
614233334513
72414465652
oct621057655
9238755700
10105144237
1154395470
122b267439
1318a25133
14dd6dc29
15936dcac
hex6445fad

105144237 has 40 divisors (see below), whose sum is σ = 172497600. Its totient is φ = 63296640.

The previous prime is 105144223. The next prime is 105144241. The reversal of 105144237 is 732441501.

It is not a de Polignac number, because 105144237 - 26 = 105144173 is a prime.

It is a super-2 number, since 2×1051442372 = 22110621148624338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105144237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105144257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177013 + ... + 177605.

It is an arithmetic number, because the mean of its divisors is an integer number (4312440).

Almost surely, 2105144237 is an apocalyptic number.

It is an amenable number.

105144237 is a deficient number, since it is larger than the sum of its proper divisors (67353363).

105144237 is a wasteful number, since it uses less digits than its factorization.

105144237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105144237 is about 10253.9863955439. The cubic root of 105144237 is about 471.9853201529.

Adding to 105144237 its reverse (732441501), we get a palindrome (837585738).

The spelling of 105144237 in words is "one hundred five million, one hundred forty-four thousand, two hundred thirty-seven".

Divisors: 1 3 9 11 27 33 81 99 199 297 593 597 891 1779 1791 2189 5337 5373 6523 6567 16011 16119 19569 19701 48033 58707 59103 118007 176121 177309 354021 528363 1062063 1298077 3186189 3894231 9558567 11682693 35048079 105144237