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105158342445 = 35133117395921
BaseRepresentation
bin110000111101111101…
…1001111011100101101
3101001102122222021210220
41201323323033130231
53210331013424240
6120150432121553
710411631106522
oct1417373173455
9331378867726
10105158342445
1140663163132
12184693962b9
139bbb3cb490
14513817d149
152b0701c5d0
hex187becf72d

105158342445 has 32 divisors (see below), whose sum is σ = 187040953344. Its totient is φ = 50100249600.

The previous prime is 105158342437. The next prime is 105158342449. The reversal of 105158342445 is 544243851501.

It is not a de Polignac number, because 105158342445 - 23 = 105158342437 is a prime.

It is a super-2 number, since 2×1051583424452 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105158342397 and 105158342406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105158342449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8691916 + ... + 8704005.

It is an arithmetic number, because the mean of its divisors is an integer number (5845029792).

Almost surely, 2105158342445 is an apocalyptic number.

105158342445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105158342445 is a deficient number, since it is larger than the sum of its proper divisors (81882610899).

105158342445 is a wasteful number, since it uses less digits than its factorization.

105158342445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17395973.

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 105158342445 in words is "one hundred five billion, one hundred fifty-eight million, three hundred forty-two thousand, four hundred forty-five".

Divisors: 1 3 5 13 15 31 39 65 93 155 195 403 465 1209 2015 6045 17395921 52187763 86979605 226146973 260938815 539273551 678440919 1130734865 1617820653 2696367755 3392204595 7010556163 8089103265 21031668489 35052780815 105158342445