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105059903 = 1319741023
BaseRepresentation
bin1100100001100…
…01011000111111
321022200121002112
412100301120333
5203343404103
614231444235
72413665044
oct620613077
9238617075
10105059903
1154338073
122b22667b
13189c5930
14dd4b1cb
159353cd8
hex643163f

105059903 has 8 divisors (see below), whose sum is σ = 113718528. Its totient is φ = 96483744.

The previous prime is 105059893. The next prime is 105059923. The reversal of 105059903 is 309950501.

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 105059903 - 24 = 105059887 is a prime.

It is a super-2 number, since 2×1050599032 = 22075166436738818, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105059903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105059923) 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, 17951 + ... + 23072.

It is an arithmetic number, because the mean of its divisors is an integer number (14214816).

Almost surely, 2105059903 is an apocalyptic number.

105059903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105059903 is a deficient number, since it is larger than the sum of its proper divisors (8658625).

105059903 is a wasteful number, since it uses less digits than its factorization.

105059903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41233.

The product of its (nonzero) digits is 6075, while the sum is 32.

The square root of 105059903 is about 10249.8733162903. The cubic root of 105059903 is about 471.8590965387.

The spelling of 105059903 in words is "one hundred five million, fifty-nine thousand, nine hundred three".

Divisors: 1 13 197 2561 41023 533299 8081531 105059903