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105432054 = 23713316229
BaseRepresentation
bin1100100100011…
…00001111110110
321100101111120220
412102030033312
5203442311204
614243435210
72420105040
oct622141766
9240344526
10105432054
1154571732
122b385b06
1318ac6140
1410006a90
1593c91d9
hex648c3f6

105432054 has 64 divisors (see below), whose sum is σ = 267939840. Its totient is φ = 26904960.

The previous prime is 105432053. The next prime is 105432059. The reversal of 105432054 is 450234501.

It is a super-2 number, since 2×1054320542 = 22231836021317832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105432053) 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, 13812 + ... + 20040.

It is an arithmetic number, because the mean of its divisors is an integer number (4186560).

Almost surely, 2105432054 is an apocalyptic number.

105432054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105432054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133969920).

105432054 is an abundant number, since it is smaller than the sum of its proper divisors (162507786).

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

105432054 is a wasteful number, since it uses less digits than its factorization.

105432054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105432054 is about 10268.0111998381. The cubic root of 105432054 is about 472.4155914279.

Adding to 105432054 its reverse (450234501), we get a palindrome (555666555).

The spelling of 105432054 in words is "one hundred five million, four hundred thirty-two thousand, fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2418 2821 5642 6229 8463 12458 16926 18687 37374 43603 80977 87206 130809 161954 193099 242931 261618 386198 485862 566839 579297 1133678 1158594 1351693 1700517 2510287 2703386 3401034 4055079 5020574 7530861 8110158 15061722 17572009 35144018 52716027 105432054