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105102452 = 227213219167
BaseRepresentation
bin1100100001110…
…11110001110100
321022202202110102
412100323301310
5203401234302
614232413232
72414233100
oct620736164
9238682412
10105102452
1154367034
122b247218
1318a0c100
14dd5c900
159361702
hex643bc74

105102452 has 108 divisors (see below), whose sum is σ = 245337120. Its totient is φ = 39154752.

The previous prime is 105102443. The next prime is 105102461. The reversal of 105102452 is 254201501.

It is an interprime number because it is at equal distance from previous prime (105102443) and next prime (105102461).

It is a super-2 number, since 2×1051024522 = 22093050832824608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 629273 + ... + 629439.

It is an arithmetic number, because the mean of its divisors is an integer number (2271640).

Almost surely, 2105102452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105102452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122668560).

105102452 is an abundant number, since it is smaller than the sum of its proper divisors (140234668).

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

105102452 is a wasteful number, since it uses less digits than its factorization.

105102452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105102452 is about 10251.9486928096. The cubic root of 105102452 is about 471.9227885288.

Adding to 105102452 its reverse (254201501), we get a palindrome (359303953).

The spelling of 105102452 in words is "one hundred five million, one hundred two thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 167 169 182 196 247 266 334 338 364 494 532 637 668 676 931 988 1169 1183 1274 1729 1862 2171 2338 2366 2548 3173 3211 3458 3724 4342 4676 4732 6346 6422 6916 8183 8281 8684 12103 12692 12844 15197 16366 16562 22211 22477 24206 28223 30394 32732 33124 41249 44422 44954 48412 56446 60788 82498 88844 89908 106379 112892 155477 157339 164996 197561 212758 288743 310954 314678 395122 425516 536237 577486 621908 629356 790244 1072474 1154972 1382927 2021201 2144948 2765854 3753659 4042402 5531708 7507318 8084804 15014636 26275613 52551226 105102452