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109919810 = 257111379139
BaseRepresentation
bin1101000110100…
…11111001000010
321122211111122002
412203103321002
5211114413220
614523544002
72503205630
oct643237102
9248744562
10109919810
1157057420
123098b002
1319a07a10
1410854350
1599b3c75
hex68d3e42

109919810 has 128 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 31000320.

The previous prime is 109919801. The next prime is 109919813. The reversal of 109919810 is 18919901.

It is a happy number.

It is a super-2 number, since 2×1099198102 = 24164729260872200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109919813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 790721 + ... + 790859.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2109919810 is an apocalyptic number.

109919810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109919810 is an abundant number, since it is smaller than the sum of its proper divisors (161030590).

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

109919810 is a wasteful number, since it uses less digits than its factorization.

109919810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 5832, while the sum is 38.

The square root of 109919810 is about 10484.2648764708. The cubic root of 109919810 is about 479.0255258994.

Subtracting from 109919810 its reverse (18919901), we obtain a palindrome (90999909).

It can be divided in two parts, 109 and 919810, that added together give a palindrome (919919).

The spelling of 109919810 in words is "one hundred nine million, nine hundred nineteen thousand, eight hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 79 91 110 130 139 143 154 158 182 278 286 385 395 455 553 695 715 770 790 869 910 973 1001 1027 1106 1390 1430 1529 1738 1807 1946 2002 2054 2765 3058 3614 4345 4865 5005 5135 5530 6083 7189 7645 8690 9035 9730 10010 10270 10703 10981 11297 12166 12649 14378 15290 18070 19877 21406 21962 22594 25298 30415 35945 39754 53515 54905 56485 60830 63245 71890 76867 79079 99385 107030 109810 112970 120791 126490 139139 142753 153734 158158 198770 241582 278278 285506 384335 395395 603955 695695 713765 768670 790790 845537 999271 1207910 1391390 1427530 1570283 1691074 1998542 3140566 4227685 4996355 7851415 8455370 9992710 10991981 15702830 21983962 54959905 109919810