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107841132 = 22347172797
BaseRepresentation
bin1100110110110…
…00011001101100
321111220220020000
412123120121230
5210101404012
614411224300
72446430430
oct633303154
9244826200
10107841132
1155967703
1230148090
131945a829
14104729c0
159702ddc
hex66d866c

107841132 has 120 divisors (see below), whose sum is σ = 341266464. Its totient is φ = 28988928.

The previous prime is 107841113. The next prime is 107841133. The reversal of 107841132 is 231148701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107841096 and 107841105.

It is not an unprimeable number, because it can be changed into a prime (107841133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37158 + ... + 39954.

Almost surely, 2107841132 is an apocalyptic number.

107841132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107841132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170633232).

107841132 is an abundant number, since it is smaller than the sum of its proper divisors (233425332).

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

107841132 is a wasteful number, since it uses less digits than its factorization.

107841132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107841132 is about 10384.6584922182. The cubic root of 107841132 is about 475.9866943059.

Adding to 107841132 its reverse (231148701), we get a palindrome (338989833).

The spelling of 107841132 in words is "one hundred seven million, eight hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 2797 3213 4284 5508 5594 6426 8391 9639 11188 12852 16782 19278 19579 25173 33564 38556 39158 47549 50346 58737 75519 78316 95098 100692 117474 142647 151038 176211 190196 226557 234948 285294 302076 332843 352422 427941 453114 528633 570588 665686 704844 855882 906228 998529 1057266 1283823 1331372 1585899 1711764 1997058 2114532 2567646 2995587 3171798 3851469 3994116 5135292 5991174 6343596 7702938 8986761 11982348 15405876 17973522 26960283 35947044 53920566 107841132