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106116426 = 23313151163
BaseRepresentation
bin1100101001100…
…11010101001010
321101200021101000
412110303111022
5204131211201
614310235430
72425655223
oct624632512
9241607330
10106116426
1154999929
122b655b76
1318ca57b0
141014424a
1594b1d86
hex653354a

106116426 has 32 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 32650992.

The previous prime is 106116421. The next prime is 106116443. The reversal of 106116426 is 624611601.

106116426 is a `hidden beast` number, since 1 + 0 + 6 + 11 + 642 + 6 = 666.

It is a super-2 number, since 2×1061164262 = 22521391734026952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106116426.

It is not an unprimeable number, because it can be changed into a prime (106116421) 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 15 ways as a sum of consecutive naturals, for example, 74880 + ... + 76283.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 2106116426 is an apocalyptic number.

106116426 is an abundant number, since it is smaller than the sum of its proper divisors (147839094).

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

106116426 is a wasteful number, since it uses less digits than its factorization.

106116426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151187 (or 151181 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106116426 is about 10301.2827356597. The cubic root of 106116426 is about 473.4355562904.

The spelling of 106116426 in words is "one hundred six million, one hundred sixteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 151163 302326 453489 906978 1360467 1965119 2720934 3930238 4081401 5895357 8162802 11790714 17686071 35372142 53058213 106116426