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105424002 = 232101103563
BaseRepresentation
bin1100100100010…
…10010010000010
321100101002112200
412102022102002
5203442032002
614243334030
72420042415
oct622122202
9240332480
10105424002
1154566682
122b381316
1318ac2588
1410003b7c
1593c6b1c
hex648a482

105424002 has 48 divisors (see below), whose sum is σ = 233333568. Its totient is φ = 34394400.

The previous prime is 105424001. The next prime is 105424061. The reversal of 105424002 is 200424501.

It is a super-2 number, since 2×1054240022 = 22228440395392008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105424001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186973 + ... + 187535.

It is an arithmetic number, because the mean of its divisors is an integer number (4861116).

Almost surely, 2105424002 is an apocalyptic number.

105424002 is an abundant number, since it is smaller than the sum of its proper divisors (127909566).

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

105424002 is a wasteful number, since it uses less digits than its factorization.

105424002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 105424002 is about 10267.6191008432. The cubic root of 105424002 is about 472.4035647654.

Adding to 105424002 its reverse (200424501), we get a palindrome (305848503).

The spelling of 105424002 in words is "one hundred five million, four hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 18 101 103 202 206 303 309 563 606 618 909 927 1126 1689 1818 1854 3378 5067 10134 10403 20806 31209 56863 57989 62418 93627 113726 115978 170589 173967 187254 341178 347934 511767 521901 1023534 1043802 5856889 11713778 17570667 35141334 52712001 105424002