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106110612 = 22322947517
BaseRepresentation
bin1100101001100…
…01111010010100
321101122222101200
412110301322110
5204131014422
614310152500
72425632246
oct624617224
9241588350
10106110612
1154995523
122b652730
1318ca2c5a
1410142096
1594b02ac
hex6531e94

106110612 has 18 divisors (see below), whose sum is σ = 268224138. Its totient is φ = 35370192.

The previous prime is 106110593. The next prime is 106110619. The reversal of 106110612 is 216011601.

It can be written as a sum of positive squares in only one way, i.e., 89756676 + 16353936 = 9474^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1061106122 = 22518923958029088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106110619) 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 5 ways as a sum of consecutive naturals, for example, 1473723 + ... + 1473794.

It is an arithmetic number, because the mean of its divisors is an integer number (14901341).

Almost surely, 2106110612 is an apocalyptic number.

106110612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106110612 is an abundant number, since it is smaller than the sum of its proper divisors (162113526).

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

106110612 is a wasteful number, since it uses less digits than its factorization.

106110612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947527 (or 2947522 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 106110612 is about 10301.0005339287. Note that the first 3 decimals coincide. The cubic root of 106110612 is about 473.4269097981.

The spelling of 106110612 in words is "one hundred six million, one hundred ten thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2947517 5895034 8842551 11790068 17685102 26527653 35370204 53055306 106110612