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106116252 = 22311803911
BaseRepresentation
bin1100101001100…
…11010010011100
321101200021010120
412110303102130
5204131210002
614310234540
72425654554
oct624632234
9241607116
10106116252
1154999790
122b655a50
1318ca56a8
1410144164
1594b1cbc
hex653349c

106116252 has 24 divisors (see below), whose sum is σ = 270114432. Its totient is φ = 32156400.

The previous prime is 106116251. The next prime is 106116281. The reversal of 106116252 is 252611601.

It is a super-2 number, since 2×1061162522 = 22521317877055008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106116251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401824 + ... + 402087.

It is an arithmetic number, because the mean of its divisors is an integer number (11254768).

Almost surely, 2106116252 is an apocalyptic number.

106116252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106116252 is an abundant number, since it is smaller than the sum of its proper divisors (163998180).

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

106116252 is a wasteful number, since it uses less digits than its factorization.

106116252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803929 (or 803927 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106116252 is about 10301.2742901061. The cubic root of 106116252 is about 473.4352975249.

Adding to 106116252 its reverse (252611601), we get a palindrome (358727853).

The spelling of 106116252 in words is "one hundred six million, one hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 803911 1607822 2411733 3215644 4823466 8843021 9646932 17686042 26529063 35372084 53058126 106116252