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106166506602 = 23135327119473
BaseRepresentation
bin110001011100000000…
…1000101010001101010
3101011000221000100001010
41202320001011101222
53214412111202402
6120434444404350
710445622262602
oct1427001052152
9334027010033
10106166506602
1141030252852
12186aab466b6
13a01c236710
1451d2013c02
152b657b2a6c
hex18b804546a

106166506602 has 64 divisors (see below), whose sum is σ = 233091323136. Its totient is φ = 32035061760.

The previous prime is 106166506601. The next prime is 106166506613. The reversal of 106166506602 is 206605661601.

It is a super-2 number, since 2×1061665066022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (106166506601) 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, 11202538 + ... + 11212010.

It is an arithmetic number, because the mean of its divisors is an integer number (3642051924).

Almost surely, 2106166506602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106166506602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116545661568).

106166506602 is an abundant number, since it is smaller than the sum of its proper divisors (126924816534).

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

106166506602 is a wasteful number, since it uses less digits than its factorization.

106166506602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12255.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 106166506602 in words is "one hundred six billion, one hundred sixty-six million, five hundred six thousand, six hundred two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 2711 4134 5422 8133 9473 16266 18946 28419 35243 56838 70486 105729 123149 143683 211458 246298 287366 369447 431049 502069 738894 862098 1004138 1506207 1867879 3012414 3735758 5603637 6526897 11207274 13053794 19580691 25681303 39161382 51362606 77043909 154087818 333856939 667713878 1001570817 1361109059 2003141634 2722218118 4083327177 8166654354 17694417767 35388835534 53083253301 106166506602