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106422700 = 22521636529
BaseRepresentation
bin1100101011111…
…10000110101100
321102020211111111
412111332012230
5204221011300
614321001404
72431402156
oct625760654
9242224444
10106422700
1155088a4a
122b783264
1319082017
14101c3ad6
1595229ba
hex657e1ac

106422700 has 36 divisors (see below), whose sum is σ = 232389640. Its totient is φ = 42301440.

The previous prime is 106422691. The next prime is 106422707. The reversal of 106422700 is 7224601.

It is a super-2 number, since 2×1064227002 = 22651582150580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106422707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13036 + ... + 19564.

Almost surely, 2106422700 is an apocalyptic number.

106422700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106422700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116194820).

106422700 is an abundant number, since it is smaller than the sum of its proper divisors (125966940).

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

106422700 is a wasteful number, since it uses less digits than its factorization.

106422700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 106422700 is about 10316.1378432047. The cubic root of 106422700 is about 473.8905965052.

The spelling of 106422700 in words is "one hundred six million, four hundred twenty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 6529 8150 13058 16300 26116 32645 65290 130580 163225 326450 652900 1064227 2128454 4256908 5321135 10642270 21284540 26605675 53211350 106422700