Search a number
-
+
106099967490 = 235112931097321
BaseRepresentation
bin110001011010000001…
…1010000011000000010
3101010212021210210112120
41202310003100120002
53214243042424430
6120424110305110
710444153562166
oct1426403203002
9333767723476
10106099967490
1140aa6735a50
12186907b8196
13a00b50a26a
1451c7252ca6
152b5ea1c610
hex18b40d0602

106099967490 has 64 divisors (see below), whose sum is σ = 278737345152. Its totient is φ = 25633395200.

The previous prime is 106099967471. The next prime is 106099967497. The reversal of 106099967490 is 94769990601.

It is a super-3 number, since 3×1060999674903 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106099967497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451971 + ... + 645350.

It is an arithmetic number, because the mean of its divisors is an integer number (4355271018).

Almost surely, 2106099967490 is an apocalyptic number.

106099967490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106099967490 is an abundant number, since it is smaller than the sum of its proper divisors (172637377662).

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

106099967490 is a wasteful number, since it uses less digits than its factorization.

106099967490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097635.

The product of its (nonzero) digits is 6613488, while the sum is 60.

The spelling of 106099967490 in words is "one hundred six billion, ninety-nine million, nine hundred sixty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 293 330 586 879 1465 1758 2930 3223 4395 6446 8790 9669 16115 19338 32230 48345 96690 1097321 2194642 3291963 5486605 6583926 10973210 12070531 16459815 24141062 32919630 36211593 60352655 72423186 120705310 181057965 321515053 362115930 643030106 964545159 1607575265 1929090318 3215150530 3536665583 4822725795 7073331166 9645451590 10609996749 17683327915 21219993498 35366655830 53049983745 106099967490