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106126050 = 23521036869
BaseRepresentation
bin1100101001101…
…01101011100010
321101200202120110
412110311223202
5204132013200
614310352150
72426025252
oct624655342
9241622513
10106126050
11549a6088
122b65b656
1318ca9ca4
1410147962
1594b4b50
hex6535ae2

106126050 has 48 divisors (see below), whose sum is σ = 265786560. Its totient is φ = 28021440.

The previous prime is 106126049. The next prime is 106126061. The reversal of 106126050 is 50621601.

It is a happy number.

It is a super-2 number, since 2×1061260502 = 22525476977205000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12016 + ... + 18884.

It is an arithmetic number, because the mean of its divisors is an integer number (5537220).

Almost surely, 2106126050 is an apocalyptic number.

106126050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106126050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132893280).

106126050 is an abundant number, since it is smaller than the sum of its proper divisors (159660510).

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

106126050 is a wasteful number, since it uses less digits than its factorization.

106126050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106126050 is about 10301.7498513602. The cubic root of 106126050 is about 473.4498682628.

Adding to 106126050 its reverse (50621601), we get a palindrome (156747651).

The spelling of 106126050 in words is "one hundred six million, one hundred twenty-six thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 103 150 206 309 515 618 1030 1545 2575 3090 5150 6869 7725 13738 15450 20607 34345 41214 68690 103035 171725 206070 343450 515175 707507 1030350 1415014 2122521 3537535 4245042 7075070 10612605 17687675 21225210 35375350 53063025 106126050