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105010361 = 314772073
BaseRepresentation
bin1100100001001…
…01010010111001
321022121002010122
412100211102321
5203340312421
614230423025
72413400441
oct620452271
9238532118
10105010361
1154303925
122b201a75
13189a9211
14dd37121
1593442ab
hex64254b9

105010361 has 8 divisors (see below), whose sum is σ = 110705664. Its totient is φ = 99459360.

The previous prime is 105010351. The next prime is 105010369. The reversal of 105010361 is 163010501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105010361 - 222 = 100816057 is a prime.

It is a super-2 number, since 2×1050103612 = 22054351834700642, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105010369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34580 + ... + 37493.

It is an arithmetic number, because the mean of its divisors is an integer number (13838208).

Almost surely, 2105010361 is an apocalyptic number.

It is an amenable number.

105010361 is a deficient number, since it is larger than the sum of its proper divisors (5695303).

105010361 is an equidigital number, since it uses as much as digits as its factorization.

105010361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72151.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 105010361 is about 10247.4563185212. The cubic root of 105010361 is about 471.7849149903.

Adding to 105010361 its reverse (163010501), we get a palindrome (268020862).

It can be divided in two parts, 1050 and 10361, that added together give a palindrome (11411).

The spelling of 105010361 in words is "one hundred five million, ten thousand, three hundred sixty-one".

Divisors: 1 31 47 1457 72073 2234263 3387431 105010361