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105404634 = 23219330341
BaseRepresentation
bin1100100100001…
…01100011011010
321100100002222100
412102011203122
5203440422014
614243104230
72416632066
oct622054332
9240302870
10105404634
1154553075
122b372076
1318ab680a
14dddaaa6
1593c1009
hex64858da

105404634 has 24 divisors (see below), whose sum is σ = 229567572. Its totient is φ = 34951680.

The previous prime is 105404623. The next prime is 105404639. The reversal of 105404634 is 436404501.

It can be written as a sum of positive squares in 2 ways, for example, as 95004009 + 10400625 = 9747^2 + 3225^2 .

It is a super-2 number, since 2×1054046342 = 22220273737347912, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105404598 and 105404607.

It is not an unprimeable number, because it can be changed into a prime (105404639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11697 + ... + 18644.

Almost surely, 2105404634 is an apocalyptic number.

105404634 is an abundant number, since it is smaller than the sum of its proper divisors (124162938).

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

105404634 is a wasteful number, since it uses less digits than its factorization.

105404634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30542 (or 30539 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 105404634 is about 10266.6758982642. The cubic root of 105404634 is about 472.3746337427.

The spelling of 105404634 in words is "one hundred five million, four hundred four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 30341 60682 91023 182046 273069 546138 5855813 11711626 17567439 35134878 52702317 105404634