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106217652 = 2238851471
BaseRepresentation
bin1100101010011…
…00000010110100
321101212102020010
412111030002310
5204142431102
614312340220
72426556312
oct625140264
9241772203
10106217652
1154a58992
122b6a4670
131900c8a8
141016d0b2
1594d1d6c
hex654c0b4

106217652 has 12 divisors (see below), whose sum is σ = 247841216. Its totient is φ = 35405880.

The previous prime is 106217651. The next prime is 106217659. The reversal of 106217652 is 256712601.

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

It is a super-2 number, since 2×1062176522 = 22564379192786208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106217651) 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, 4425724 + ... + 4425747.

Almost surely, 2106217652 is an apocalyptic number.

106217652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106217652 is an abundant number, since it is smaller than the sum of its proper divisors (141623564).

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

106217652 is a wasteful number, since it uses less digits than its factorization.

106217652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8851478 (or 8851476 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106217652 is about 10306.1948361168. The cubic root of 106217652 is about 473.5860474664.

The spelling of 106217652 in words is "one hundred six million, two hundred seventeen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 8851471 17702942 26554413 35405884 53108826 106217652