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106066242 = 23214993931
BaseRepresentation
bin1100101001001…
…11000101000010
321101120201112100
412110213011002
5204123104432
614305211230
72425356012
oct624470502
9241521470
10106066242
1154965157
122b630b16
1318c889b9
141012dc42
1594a207c
hex6527142

106066242 has 24 divisors (see below), whose sum is σ = 230022000. Its totient is φ = 35322840.

The previous prime is 106066241. The next prime is 106066243. The reversal of 106066242 is 242660601.

It is a happy number.

106066242 is a `hidden beast` number, since 10 + 606 + 6 + 2 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (106066241) and next prime (106066243).

It is a super-2 number, since 2×1060662422 = 22500095384005128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106066241) 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 11 ways as a sum of consecutive naturals, for example, 25017 + ... + 28947.

It is an arithmetic number, because the mean of its divisors is an integer number (9584250).

Almost surely, 2106066242 is an apocalyptic number.

106066242 is an abundant number, since it is smaller than the sum of its proper divisors (123955758).

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

106066242 is a wasteful number, since it uses less digits than its factorization.

106066242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106066242 is about 10298.8466344538. The cubic root of 106066242 is about 473.3609130043.

The spelling of 106066242 in words is "one hundred six million, sixty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 1499 2998 3931 4497 7862 8994 11793 13491 23586 26982 35379 70758 5892569 11785138 17677707 35355414 53033121 106066242