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105246852 = 22319461609
BaseRepresentation
bin1100100010111…
…11000010000100
321100001002112120
412101133002010
5203420344402
614235445540
72415404064
oct621370204
9240032476
10105246852
1154455577
122b2b68b0
1318a5ca59
14dd993a4
15938e3bc
hex645f084

105246852 has 24 divisors (see below), whose sum is σ = 258501600. Its totient is φ = 33235776.

The previous prime is 105246839. The next prime is 105246859. The reversal of 105246852 is 258642501.

It is a super-2 number, since 2×1052468522 = 22153799711819808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105246859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230577 + ... + 231032.

It is an arithmetic number, because the mean of its divisors is an integer number (10770900).

Almost surely, 2105246852 is an apocalyptic number.

105246852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105246852 is an abundant number, since it is smaller than the sum of its proper divisors (153254748).

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

105246852 is a wasteful number, since it uses less digits than its factorization.

105246852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461635 (or 461633 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 105246852 is about 10258.9888390621. The cubic root of 105246852 is about 472.1388141457.

The spelling of 105246852 in words is "one hundred five million, two hundred forty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 461609 923218 1384827 1846436 2769654 5539308 8770571 17541142 26311713 35082284 52623426 105246852