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107334090 = 23251731273
BaseRepresentation
bin1100110010111…
…00100111001010
321110222010200200
412121130213022
5204434142330
614352313030
72442216243
oct631344712
9243863620
10107334090
1155650766
122bb42776
1319310ac6
141037dcca
159652a60
hex665c9ca

107334090 has 144 divisors (see below), whose sum is σ = 309506184. Its totient is φ = 25712640.

The previous prime is 107334083. The next prime is 107334103. The reversal of 107334090 is 90433701.

It can be written as a sum of positive squares in 4 ways, for example, as 99022401 + 8311689 = 9951^2 + 2883^2 .

It is a super-2 number, since 2×1073340902 = 23041213752256200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1470294 + ... + 1470366.

Almost surely, 2107334090 is an apocalyptic number.

107334090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107334090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154753092).

107334090 is an abundant number, since it is smaller than the sum of its proper divisors (202172094).

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

107334090 is a wasteful number, since it uses less digits than its factorization.

107334090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 107334090 is about 10360.2166965754. The cubic root of 107334090 is about 475.2395320052.

Adding to 107334090 its reverse (90433701), we get a palindrome (197767791).

The spelling of 107334090 in words is "one hundred seven million, three hundred thirty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 73 85 90 93 102 146 153 155 170 186 219 255 279 306 310 365 438 465 510 527 558 657 730 765 930 961 1054 1095 1241 1314 1395 1530 1581 1922 2190 2263 2482 2635 2790 2883 3162 3285 3723 4526 4743 4805 5270 5766 6205 6570 6789 7446 7905 8649 9486 9610 11169 11315 12410 13578 14415 15810 16337 17298 18615 20367 22338 22630 23715 28830 32674 33945 37230 38471 40734 43245 47430 49011 55845 67890 70153 76942 81685 86490 98022 101835 111690 115413 140306 147033 163370 192355 203670 210459 230826 245055 294066 346239 350765 384710 420918 490110 577065 631377 692478 701530 735165 1052295 1154130 1192601 1262754 1470330 1731195 2104590 2385202 3156885 3462390 3577803 5963005 6313770 7155606 10733409 11926010 17889015 21466818 35778030 53667045 107334090