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105424254 = 23413113443
BaseRepresentation
bin1100100100010…
…10010101111110
321100101002220000
412102022111332
5203442034004
614243335130
72420043225
oct622122576
9240332800
10105424254
1154566891
122b3814a6
1318ac2720
1410003cbc
1593c6c39
hex648a57e

105424254 has 80 divisors (see below), whose sum is σ = 257230512. Its totient is φ = 32078592.

The previous prime is 105424237. The next prime is 105424271. The reversal of 105424254 is 452424501.

105424254 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (105424237) and next prime (105424271).

It is a super-2 number, since 2×1054242542 = 22228546662913032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237757 + ... + 238199.

Almost surely, 2105424254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105424254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128615256).

105424254 is an abundant number, since it is smaller than the sum of its proper divisors (151806258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105424254 is a wasteful number, since it uses less digits than its factorization.

105424254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 105424254 is about 10267.6313724247. The cubic root of 105424254 is about 472.4039411680.

Adding to 105424254 its reverse (452424501), we get a palindrome (557848755).

The spelling of 105424254 in words is "one hundred five million, four hundred twenty-four thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 113 117 162 226 234 339 351 443 678 702 886 1017 1053 1329 1469 2034 2106 2658 2938 3051 3987 4407 5759 6102 7974 8814 9153 11518 11961 13221 17277 18306 23922 26442 34554 35883 39663 50059 51831 71766 79326 100118 103662 118989 150177 155493 237978 300354 310986 450531 466479 650767 901062 932958 1301534 1351593 1952301 2703186 3904602 4054779 5856903 8109558 11713806 17570709 35141418 52712127 105424254