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105246352 = 24371391279
BaseRepresentation
bin1100100010111…
…10111010010000
321100001001212001
412101132322100
5203420340402
614235443344
72415402451
oct621367220
9240031761
10105246352
1154455162
122b2b6554
1318a5c763
14dd99128
15938e187
hex645ee90

105246352 has 40 divisors (see below), whose sum is σ = 211097600. Its totient is φ = 50792832.

The previous prime is 105246331. The next prime is 105246391. The reversal of 105246352 is 253642501.

It is a super-2 number, since 2×1052463522 = 22153589218615808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105246352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81649 + ... + 82927.

It is an arithmetic number, because the mean of its divisors is an integer number (5277440).

Almost surely, 2105246352 is an apocalyptic number.

It is an amenable number.

105246352 is an abundant number, since it is smaller than the sum of its proper divisors (105851248).

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

105246352 is a wasteful number, since it uses less digits than its factorization.

105246352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 105246352 is about 10258.9644701597. The cubic root of 105246352 is about 472.1380664756.

Adding to 105246352 its reverse (253642501), we get a palindrome (358888853).

The spelling of 105246352 in words is "one hundred five million, two hundred forty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 37 74 139 148 278 296 556 592 1112 1279 2224 2558 5116 5143 10232 10286 20464 20572 41144 47323 82288 94646 177781 189292 355562 378584 711124 757168 1422248 2844496 6577897 13155794 26311588 52623176 105246352