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106012242 = 23271396053
BaseRepresentation
bin1100101000110…
…01111001010010
321101110222110100
412110121321102
5204114342432
614304113230
72425042410
oct624317122
9241428410
10106012242
1154928626
122b605816
1318c6a24b
14101182b0
15949107c
hex6519e52

106012242 has 48 divisors (see below), whose sum is σ = 264438720. Its totient is φ = 30066336.

The previous prime is 106012241. The next prime is 106012271. The reversal of 106012242 is 242210601.

106012242 is a `hidden beast` number, since 1 + 0 + 601 + 22 + 42 = 666.

It is a super-2 number, since 2×1060122422 = 22477190907733128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106012241) 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 23 ways as a sum of consecutive naturals, for example, 14488 + ... + 20540.

It is an arithmetic number, because the mean of its divisors is an integer number (5509140).

Almost surely, 2106012242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106012242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132219360).

106012242 is an abundant number, since it is smaller than the sum of its proper divisors (158426478).

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

106012242 is a wasteful number, since it uses less digits than its factorization.

106012242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6207 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106012242 is about 10296.2246478989. The cubic root of 106012242 is about 473.2805675272.

Adding to 106012242 its reverse (242210601), we get a palindrome (348222843).

The spelling of 106012242 in words is "one hundred six million, twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 5838 6053 8757 12106 17514 18159 36318 42371 54477 84742 108954 127113 254226 381339 762678 841367 1682734 2524101 5048202 5889569 7572303 11779138 15144606 17668707 35337414 53006121 106012242