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105068898 = 232112192539
BaseRepresentation
bin1100100001100…
…11100101100010
321022201001102200
412100303211202
5203344201043
614231554030
72414033214
oct620634542
9238631380
10105068898
1154343900
122b22b916
13189c9a5c
14dd505b4
1593567d3
hex6433962

105068898 has 72 divisors (see below), whose sum is σ = 263499600. Its totient is φ = 30151440.

The previous prime is 105068897. The next prime is 105068933. The reversal of 105068898 is 898860501.

It is a super-2 number, since 2×1050688982 = 22078946653868808, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105068897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40113 + ... + 42651.

Almost surely, 2105068898 is an apocalyptic number.

105068898 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105068898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131749800).

105068898 is an abundant number, since it is smaller than the sum of its proper divisors (158430702).

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

105068898 is a wasteful number, since it uses less digits than its factorization.

105068898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 105068898 is about 10250.3120928097. The cubic root of 105068898 is about 471.8725626703.

The spelling of 105068898 in words is "one hundred five million, sixty-eight thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 2539 3762 4598 5078 6897 7617 13794 15234 20691 22851 27929 41382 45702 48241 55858 83787 96482 144723 167574 251361 289446 307219 434169 502722 530651 614438 868338 921657 1061302 1591953 1843314 2764971 3183906 4775859 5529942 5837161 9551718 11674322 17511483 35022966 52534449 105068898