Search a number
-
+
106675017108 = 223111734671353
BaseRepresentation
bin110001101011001010…
…0111001010110010100
3101012100100212100022120
41203112110321112110
53221432301021413
6121001131455540
710464335453532
oct1432624712624
9335310770276
10106675017108
11412712a2270
12188112b75b0
13a0a06ab3ca
14523d783152
152b9525c723
hex18d6539594

106675017108 has 48 divisors (see below), whose sum is σ = 273106040256. Its totient is φ = 32138901760.

The previous prime is 106675017107. The next prime is 106675017131. The reversal of 106675017108 is 801710576601.

It is a happy number.

It is a super-2 number, since 2×1066750171082 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106675017108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106675017107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2312841 + ... + 2358512.

It is an arithmetic number, because the mean of its divisors is an integer number (5689709172).

Almost surely, 2106675017108 is an apocalyptic number.

It is an amenable number.

106675017108 is an abundant number, since it is smaller than the sum of its proper divisors (166431023148).

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

106675017108 is a wasteful number, since it uses less digits than its factorization.

106675017108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671544 (or 4671542 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 106675017108 in words is "one hundred six billion, six hundred seventy-five million, seventeen thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 692 1038 1903 2076 3806 5709 7612 11418 22836 4671353 9342706 14014059 18685412 28028118 51384883 56056236 102769766 154154649 205539532 308309298 616618596 808144069 1616288138 2424432207 3232576276 4848864414 8889584759 9697728828 17779169518 26668754277 35558339036 53337508554 106675017108