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105363230 = 2572239349
BaseRepresentation
bin1100100011110…
…11011100011110
321100021000011212
412101323130132
5203433110410
614242144422
72416400300
oct621733436
9240230155
10105363230
1154524a55
122b352112
1318aa0a0b
14ddc9970
1593b3b05
hex647b71e

105363230 has 48 divisors (see below), whose sum is σ = 230234400. Its totient is φ = 34550208.

The previous prime is 105363217. The next prime is 105363233. The reversal of 105363230 is 32363501.

It is a super-2 number, since 2×1053632302 = 22202820472065800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105363196 and 105363205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105363233) 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, 6596 + ... + 15944.

It is an arithmetic number, because the mean of its divisors is an integer number (4796550).

Almost surely, 2105363230 is an apocalyptic number.

105363230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105363230 is an abundant number, since it is smaller than the sum of its proper divisors (124871170).

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

105363230 is a wasteful number, since it uses less digits than its factorization.

105363230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9393 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 105363230 is about 10264.6592734489. The cubic root of 105363230 is about 472.3127744738.

The spelling of 105363230 in words is "one hundred five million, three hundred sixty-three thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 230 245 322 490 805 1127 1610 2254 5635 9349 11270 18698 46745 65443 93490 130886 215027 327215 430054 458101 654430 916202 1075135 1505189 2150270 2290505 3010378 4581010 7525945 10536323 15051890 21072646 52681615 105363230