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106116550110 = 23251517808429
BaseRepresentation
bin110001011010100001…
…0100000110111011110
3101010220110000021121200
41202311002200313132
53214311314100420
6120425501540330
710444444536054
oct1426502406736
9333813007550
10106116550110
114100503179a
12186962746a6
13a011a9506c
1451c952c1d4
152b611e5b90
hex18b50a0dde

106116550110 has 48 divisors (see below), whose sum is σ = 277730238240. Its totient is φ = 28110340800.

The previous prime is 106116550093. The next prime is 106116550123. The reversal of 106116550110 is 11055611601.

106116550110 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 655 + 0 + 1 + 1 + 0 = 666.

It is a super-2 number, since 2×1061165501102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3890625 + ... + 3917804.

It is an arithmetic number, because the mean of its divisors is an integer number (5786046630).

Almost surely, 2106116550110 is an apocalyptic number.

106116550110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106116550110 is an abundant number, since it is smaller than the sum of its proper divisors (171613688130).

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

106116550110 is a wasteful number, since it uses less digits than its factorization.

106116550110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808593 (or 7808590 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 106116550110 in words is "one hundred six billion, one hundred sixteen million, five hundred fifty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 1359 1510 2265 2718 4530 6795 13590 7808429 15616858 23425287 39042145 46850574 70275861 78084290 117126435 140551722 234252870 351379305 702758610 1179072779 2358145558 3537218337 5895363895 7074436674 10611655011 11790727790 17686091685 21223310022 35372183370 53058275055 106116550110