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107034030 = 232519531181
BaseRepresentation
bin1100110000100…
…11010110101110
321110101220002100
412120103112232
5204400042110
614342035530
72436526365
oct630232656
9243356070
10107034030
1155466284
122ba18ba6
131923735c
14103027dc
1595e3bc0
hex66135ae

107034030 has 96 divisors (see below), whose sum is σ = 298715040. Its totient is φ = 26507520.

The previous prime is 107034013. The next prime is 107034079. The reversal of 107034030 is 30430701.

It is a super-2 number, since 2×1070340302 = 22912567156081800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107033994 and 107034012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90040 + ... + 91220.

It is an arithmetic number, because the mean of its divisors is an integer number (3111615).

Almost surely, 2107034030 is an apocalyptic number.

107034030 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 107034030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149357520).

107034030 is an abundant number, since it is smaller than the sum of its proper divisors (191681010).

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

107034030 is a wasteful number, since it uses less digits than its factorization.

107034030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 107034030 is about 10345.7252041604. The cubic root of 107034030 is about 474.7962635032.

Adding to 107034030 its reverse (30430701), we get a palindrome (137464731).

The spelling of 107034030 in words is "one hundred seven million, thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 53 57 90 95 106 114 159 171 190 265 285 318 342 477 530 570 795 855 954 1007 1181 1590 1710 2014 2362 2385 3021 3543 4770 5035 5905 6042 7086 9063 10070 10629 11810 15105 17715 18126 21258 22439 30210 35430 44878 45315 53145 62593 67317 90630 106290 112195 125186 134634 187779 201951 224390 312965 336585 375558 403902 563337 625930 673170 938895 1009755 1126674 1189267 1877790 2019510 2378534 2816685 3567801 5633370 5946335 7135602 10703403 11892670 17839005 21406806 35678010 53517015 107034030