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106815339156 = 22323395340087
BaseRepresentation
bin110001101111010110…
…0001011101010010100
3101012201010220102222110
41203132230023222110
53222224211323111
6121023103231020
710500661254651
oct1433654135224
9335633812873
10106815339156
11413335242a9
12188502a8470
13a0c379c1c6
14525426cc28
152ba27295a6
hex18deb0ba94

106815339156 has 48 divisors (see below), whose sum is σ = 250574373504. Its totient is φ = 35414217216.

The previous prime is 106815339149. The next prime is 106815339157. The reversal of 106815339156 is 651933518601.

106815339156 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1068153391562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106815339157) by changing a digit.

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, 2644545 + ... + 2684631.

It is an arithmetic number, because the mean of its divisors is an integer number (5220299448).

Almost surely, 2106815339156 is an apocalyptic number.

It is an amenable number.

106815339156 is an abundant number, since it is smaller than the sum of its proper divisors (143759034348).

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

106815339156 is a wasteful number, since it uses less digits than its factorization.

106815339156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41280 (or 41278 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 106815339156 in words is "one hundred six billion, eight hundred fifteen million, three hundred thirty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 233 466 699 932 953 1398 1906 2796 2859 3812 5718 11436 40087 80174 120261 160348 222049 240522 444098 481044 666147 888196 1332294 2664588 9340271 18680542 28020813 37361084 38202911 56041626 76405822 112083252 114608733 152811644 229217466 458434932 8901278263 17802556526 26703834789 35605113052 53407669578 106815339156