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106340355420 = 223513373684697
BaseRepresentation
bin110001100001001100…
…0010000110101011100
3101011111001010202210020
41203002120100311130
53220241112333140
6120504014512140
710453133051505
oct1430230206534
9334431122706
10106340355420
114110a3a3a62
1218739205650
13a049265840
14520b149bac
152b75ba36d0
hex18c2610d5c

106340355420 has 96 divisors (see below), whose sum is σ = 329323568448. Its totient is φ = 25468618752.

The previous prime is 106340355389. The next prime is 106340355437. The reversal of 106340355420 is 24553043601.

It is a super-2 number, since 2×1063403554202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813489 + ... + 1871208.

It is an arithmetic number, because the mean of its divisors is an integer number (3430453838).

Almost surely, 2106340355420 is an apocalyptic number.

106340355420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106340355420 is an abundant number, since it is smaller than the sum of its proper divisors (222983213028).

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

106340355420 is a wasteful number, since it uses less digits than its factorization.

106340355420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684759 (or 3684757 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 106340355420 in words is "one hundred six billion, three hundred forty million, three hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4810 5772 7215 9620 14430 28860 3684697 7369394 11054091 14738788 18423485 22108182 36846970 44216364 47901061 55270455 73693940 95802122 110540910 136333789 143703183 191604244 221081820 239505305 272667578 287406366 409001367 479010610 545335156 574812732 681668945 718515915 818002734 958021220 1363337890 1437031830 1636005468 1772339257 2045006835 2726675780 2874063660 3544678514 4090013670 5317017771 7089357028 8180027340 8861696285 10634035542 17723392570 21268071084 26585088855 35446785140 53170177710 106340355420