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105051102 = 231341107307
BaseRepresentation
bin1100100001011…
…11001111011110
321022200011000120
412100233033132
5203343113402
614231335410
72413630302
oct620571736
9238604016
10105051102
11543314a2
122b221566
13189c1920
14dd47d02
1593513bc
hex642f3de

105051102 has 64 divisors (see below), whose sum is σ = 234710784. Its totient is φ = 31138560.

The previous prime is 105051101. The next prime is 105051113. The reversal of 105051102 is 201150501.

It is a super-2 number, since 2×1050511022 = 22071468062828808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105051101) 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, 342033 + ... + 342339.

It is an arithmetic number, because the mean of its divisors is an integer number (3667356).

Almost surely, 2105051102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105051102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117355392).

105051102 is an abundant number, since it is smaller than the sum of its proper divisors (129659682).

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

105051102 is a wasteful number, since it uses less digits than its factorization.

105051102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473.

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 105051102 is about 10249.4439849194. The cubic root of 105051102 is about 471.8459200944.

The spelling of 105051102 in words is "one hundred five million, fifty-one thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 41 78 82 107 123 214 246 307 321 533 614 642 921 1066 1391 1599 1842 2782 3198 3991 4173 4387 7982 8346 8774 11973 12587 13161 23946 25174 26322 32849 37761 57031 65698 75522 98547 114062 163631 171093 197094 327262 342186 427037 490893 854074 981786 1281111 1346809 2562222 2693618 4040427 8080854 17508517 35017034 52525551 105051102