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106828722 = 2327311313
BaseRepresentation
bin1100101111000…
…01001110110010
321110000110110100
412113201032302
5204322004342
614333413230
72435013000
oct627411662
9243013410
10106828722
1155336000
122b93a216
1319194a80
141028ba70
1595a2e4c
hex65e13b2

106828722 has 192 divisors, whose sum is σ = 319737600. Its totient is φ = 25613280.

The previous prime is 106828703. The next prime is 106828723. The reversal of 106828722 is 227828601.

It is a happy number.

It is a super-2 number, since 2×1068287222 = 22824751688306568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106828723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8217588 + ... + 8217600.

It is an arithmetic number, because the mean of its divisors is an integer number (1665300).

Almost surely, 2106828722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106828722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159868800).

106828722 is an abundant number, since it is smaller than the sum of its proper divisors (212908878).

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

106828722 is a wasteful number, since it uses less digits than its factorization.

106828722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 106828722 is about 10335.7980823931. The cubic root of 106828722 is about 474.4924913767.

It can be divided in two parts, 106 and 828722, that added together give a palindrome (828828).

The spelling of 106828722 in words is "one hundred six million, eight hundred twenty-eight thousand, seven hundred twenty-two".