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106243368 = 233721143191
BaseRepresentation
bin1100101010100…
…10010100101000
321101220201111120
412111102110220
5204144241433
614313055240
72430024300
oct625222450
9241821446
10106243368
1154a76240
122b6b7520
131901b4ca
1410178600
1594d97b3
hex6552528

106243368 has 192 divisors, whose sum is σ = 346705920. Its totient is φ = 26812800.

The previous prime is 106243351. The next prime is 106243369. The reversal of 106243368 is 863342601.

It is a super-2 number, since 2×1062433682 = 22575306487966848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106243369) 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 47 ways as a sum of consecutive naturals, for example, 556153 + ... + 556343.

It is an arithmetic number, because the mean of its divisors is an integer number (1805760).

Almost surely, 2106243368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106243368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173352960).

106243368 is an abundant number, since it is smaller than the sum of its proper divisors (240462552).

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

106243368 is a wasteful number, since it uses less digits than its factorization.

106243368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 106243368 is about 10307.4423597709. The cubic root of 106243368 is about 473.6242638264.

Adding to 106243368 its reverse (863342601), we get a palindrome (969585969).

The spelling of 106243368 in words is "one hundred six million, two hundred forty-three thousand, three hundred sixty-eight".