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103606364420 = 225132319338963
BaseRepresentation
bin110000001111101101…
…0111010100100000100
3100220102111122122012022
41200133122322210010
53144141212130140
6115332431542312
710325314365326
oct1403732724404
9326374578168
10103606364420
113aa37101069
12180b568a998
139a01a0a6a0
14502bdc9616
152a65b570b5
hex181f6ba904

103606364420 has 96 divisors (see below), whose sum is σ = 244650938112. Its totient is φ = 36568401408.

The previous prime is 103606364359. The next prime is 103606364423. The reversal of 103606364420 is 24463606301.

It is a super-3 number, since 3×1036063644203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103606364423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11554859 + ... + 11563821.

It is an arithmetic number, because the mean of its divisors is an integer number (2548447272).

Almost surely, 2103606364420 is an apocalyptic number.

103606364420 is a gapful number since it is divisible by the number (10) 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 103606364420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122325469056).

103606364420 is an abundant number, since it is smaller than the sum of its proper divisors (141044573692).

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

103606364420 is a wasteful number, since it uses less digits than its factorization.

103606364420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10941 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 103606364420 in words is "one hundred three billion, six hundred six million, three hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 1933 2990 3866 5980 7732 8963 9665 17926 19330 25129 35852 38660 44459 44815 50258 88918 89630 100516 116519 125645 177836 179260 206149 222295 233038 251290 412298 444590 466076 502580 577967 582595 824596 889180 1030745 1155934 1165190 2061490 2311868 2330380 2679937 2889835 4122980 5359874 5779670 10719748 11559340 13399685 17325479 26799370 34650958 53598740 69301916 86627395 173254790 225231227 346509580 398486017 450462454 796972034 900924908 1126156135 1593944068 1992430085 2252312270 3984860170 4504624540 5180318221 7969720340 10360636442 20721272884 25901591105 51803182210 103606364420