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106125332 = 2279733289
BaseRepresentation
bin1100101001101…
…01100000010100
321101200201120212
412110311200110
5204132002312
614310344552
72426023205
oct624654024
9241621525
10106125332
11549a5595
122b65b158
1318ca9871
14101475ac
1594b4822
hex6535814

106125332 has 12 divisors (see below), whose sum is σ = 185957940. Its totient is φ = 52994496.

The previous prime is 106125319. The next prime is 106125337. The reversal of 106125332 is 233521601.

It can be written as a sum of positive squares in 2 ways, for example, as 22146436 + 83978896 = 4706^2 + 9164^2 .

It is a super-2 number, since 2×1061253322 = 22525172184220448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106125298 and 106125307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106125337) 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, 13457 + ... + 19832.

It is an arithmetic number, because the mean of its divisors is an integer number (15496495).

Almost surely, 2106125332 is an apocalyptic number.

It is an amenable number.

106125332 is a deficient number, since it is larger than the sum of its proper divisors (79832608).

106125332 is a wasteful number, since it uses less digits than its factorization.

106125332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34090 (or 34088 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 106125332 is about 10301.7150028527. The cubic root of 106125332 is about 473.4488005457.

Adding to 106125332 its reverse (233521601), we get a palindrome (339646933).

The spelling of 106125332 in words is "one hundred six million, one hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 797 1594 3188 33289 66578 133156 26531333 53062666 106125332