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106326000000 = 27335611179
BaseRepresentation
bin110001100000110000…
…1100000000110000000
3101011110001010102212000
41203001201200012000
53220223424000000
6120502343104000
710452600042123
oct1430141400600
9334401112760
10106326000000
1141102289580
1218734442000
13a0462aa6cc
1452092903ba
152b747ba000
hex18c1860180

106326000000 has 896 divisors, whose sum is σ = 430306992000. Its totient is φ = 25632000000.

The previous prime is 106325999929. The next prime is 106326000007. The reversal of 106326000000 is 623601.

It is a happy number.

106326000000 is a `hidden beast` number, since 1 + 0 + 63 + 2 + 600 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1063260000002 (a number of 23 digits) contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106326000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 593999911 + ... + 594000089.

Almost surely, 2106326000000 is an apocalyptic number.

106326000000 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 106326000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215153496000).

106326000000 is an abundant number, since it is smaller than the sum of its proper divisors (323980992000).

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

106326000000 is an frugal number, since it uses more digits than its factorization.

106326000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 106326000000 its reverse (623601), we get a palindrome (106326623601).

The spelling of 106326000000 in words is "one hundred six billion, three hundred twenty-six million", and thus it is an aban number.