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106934256 = 24341113577
BaseRepresentation
bin1100101111110…
…10111111110000
321110012211020000
412113322333300
5204333344011
614335550000
72435632452
oct627727760
9243184200
10106934256
11553a8320
122b98b300
1319200b10
14102b82d2
1595c4356
hex65faff0

106934256 has 200 divisors, whose sum is σ = 364237104. Its totient is φ = 29859840.

The previous prime is 106934237. The next prime is 106934263. The reversal of 106934256 is 652439601.

It is a happy number.

It is a super-2 number, since 2×1069342562 = 22869870212547072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106934256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185040 + ... + 185616.

Almost surely, 2106934256 is an apocalyptic number.

106934256 is a gapful number since it is divisible by the number (16) 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 106934256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182118552).

106934256 is an abundant number, since it is smaller than the sum of its proper divisors (257302848).

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

106934256 is a wasteful number, since it uses less digits than its factorization.

106934256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106934256 is about 10340.9020883093. The cubic root of 106934256 is about 474.6486872302.

The spelling of 106934256 in words is "one hundred six million, nine hundred thirty-four thousand, two hundred fifty-six".