Search a number
-
+
106561105602 = 2374753982323
BaseRepresentation
bin110001100111110001…
…0010110111011000010
3101012001102112001002220
41203033202112323002
53221214120334402
6120541542151510
710461453311160
oct1431742267302
9335042461086
10106561105602
1141212a69926
121879b122596
13a082c06853
14522c5b0230
152b8a25adbc
hex18cf896ec2

106561105602 has 32 divisors (see below), whose sum is σ = 248750548992. Its totient is φ = 29798241744.

The previous prime is 106561105571. The next prime is 106561105663. The reversal of 106561105602 is 206501165601.

It is a super-2 number, since 2×1065611056022 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26989188 + ... + 26993135.

It is an arithmetic number, because the mean of its divisors is an integer number (7773454656).

Almost surely, 2106561105602 is an apocalyptic number.

106561105602 is an abundant number, since it is smaller than the sum of its proper divisors (142189443390).

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

106561105602 is a wasteful number, since it uses less digits than its factorization.

106561105602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53982382.

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 106561105602 in words is "one hundred six billion, five hundred sixty-one million, one hundred five thousand, six hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 53982323 107964646 161946969 323893938 377876261 755752522 1133628783 2267257566 2537169181 5074338362 7611507543 15223015086 17760184267 35520368534 53280552801 106561105602