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105010411 = 1117561553
BaseRepresentation
bin1100100001001…
…01010011101011
321022121002012111
412100211103223
5203340313121
614230423151
72413400542
oct620452353
9238532174
10105010411
1154303970
122b201ab7
13189a924c
14dd37159
1593442e1
hex64254eb

105010411 has 8 divisors (see below), whose sum is σ = 121295664. Its totient is φ = 89848320.

The previous prime is 105010391. The next prime is 105010439. The reversal of 105010411 is 114010501.

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 105010411 - 25 = 105010379 is a prime.

It is a super-2 number, since 2×1050104112 = 22054372836777842, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105010391 and 105010400.

It is not an unprimeable number, because it can be changed into a prime (105010441) by changing a digit.

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, 280590 + ... + 280963.

It is an arithmetic number, because the mean of its divisors is an integer number (15161958).

Almost surely, 2105010411 is an apocalyptic number.

105010411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105010411 is a deficient number, since it is larger than the sum of its proper divisors (16285253).

105010411 is a wasteful number, since it uses less digits than its factorization.

105010411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561581.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 105010411 is about 10247.4587581507. The cubic root of 105010411 is about 471.7849898694.

Adding to 105010411 its reverse (114010501), we get a palindrome (219020912).

The spelling of 105010411 in words is "one hundred five million, ten thousand, four hundred eleven".

Divisors: 1 11 17 187 561553 6177083 9546401 105010411