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106450036 = 22711379341
BaseRepresentation
bin1100101100001…
…00110001110100
321102022012222221
412112010301310
5204222400121
614321332124
72431544650
oct626046164
9242265887
10106450036
11550a7540
122b797044
13190915b4
14101cda60
15952ab41
hex6584c74

106450036 has 48 divisors (see below), whose sum is σ = 238557312. Its totient is φ = 40348800.

The previous prime is 106450033. The next prime is 106450067. The reversal of 106450036 is 630054601.

It is a super-2 number, since 2×1064500362 = 22663220328802592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106450033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6726 + ... + 16066.

It is an arithmetic number, because the mean of its divisors is an integer number (4969944).

Almost surely, 2106450036 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 106450036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119278656).

106450036 is an abundant number, since it is smaller than the sum of its proper divisors (132107276).

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

106450036 is a wasteful number, since it uses less digits than its factorization.

106450036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9400 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 106450036 is about 10317.4626725760. The cubic root of 106450036 is about 473.9311679383.

The spelling of 106450036 in words is "one hundred six million, four hundred fifty thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1628 2849 5698 9341 11396 18682 37364 65387 102751 130774 205502 261548 345617 411004 691234 719257 1382468 1438514 2419319 2877028 3801787 4838638 7603574 9677276 15207148 26612509 53225018 106450036