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106116132 = 2238843011
BaseRepresentation
bin1100101001100…
…11010000100100
321101200020222010
412110303100210
5204131204012
614310234220
72425654323
oct624632044
9241606863
10106116132
1154999691
122b655970
1318ca5615
14101440ba
1594b1c3c
hex6533424

106116132 has 12 divisors (see below), whose sum is σ = 247604336. Its totient is φ = 35372040.

The previous prime is 106116119. The next prime is 106116139. The reversal of 106116132 is 231611601.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1061161322 = 22521266941282848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106116099 and 106116108.

It is not an unprimeable number, because it can be changed into a prime (106116139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4421494 + ... + 4421517.

Almost surely, 2106116132 is an apocalyptic number.

106116132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106116132 is an abundant number, since it is smaller than the sum of its proper divisors (141488204).

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

106116132 is a wasteful number, since it uses less digits than its factorization.

106116132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843018 (or 8843016 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 106116132 is about 10301.2684655823. The cubic root of 106116132 is about 473.4351190657.

Adding to 106116132 its reverse (231611601), we get a palindrome (337727733).

The spelling of 106116132 in words is "one hundred six million, one hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 8843011 17686022 26529033 35372044 53058066 106116132