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105143024 = 2472413271
BaseRepresentation
bin1100100010001…
…01101011110000
321022211211010002
412101011223300
5203404034044
614233325132
72414462300
oct621055360
9238754102
10105143024
1154394568
122b2667a8
1318a2470c
14dd6d600
15936d74e
hex6445af0

105143024 has 60 divisors (see below), whose sum is σ = 242828208. Its totient is φ = 43948800.

The previous prime is 105143021. The next prime is 105143029. The reversal of 105143024 is 420341501.

It is a super-2 number, since 2×1051430242 = 22110110991729152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105142987 and 105143005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105143021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30509 + ... + 33779.

Almost surely, 2105143024 is an apocalyptic number.

105143024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105143024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121414104).

105143024 is an abundant number, since it is smaller than the sum of its proper divisors (137685184).

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

105143024 is a wasteful number, since it uses less digits than its factorization.

105143024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105143024 is about 10253.9272476452. The cubic root of 105143024 is about 471.9835051212.

Adding to 105143024 its reverse (420341501), we get a palindrome (525484525).

The spelling of 105143024 in words is "one hundred five million, one hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1148 2009 2296 3271 4018 4592 6542 8036 13084 16072 22897 26168 32144 45794 52336 91588 134111 160279 183176 268222 320558 366352 536444 641116 938777 1072888 1282232 1877554 2145776 2564464 3755108 6571439 7510216 13142878 15020432 26285756 52571512 105143024