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106055502 = 23721811993
BaseRepresentation
bin1100101001001…
…00011101001110
321101120011210120
412110210131032
5204122234002
614305045410
72425312500
oct624443516
9241504716
10106055502
1154958083
122b626866
1318c83b47
1410129d70
15949dcbc
hex652474e

106055502 has 48 divisors (see below), whose sum is σ = 248229072. Its totient is φ = 30119040.

The previous prime is 106055489. The next prime is 106055519. The reversal of 106055502 is 205550601.

It is a super-2 number, since 2×1060555022 = 22495539008944008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52218 + ... + 54210.

It is an arithmetic number, because the mean of its divisors is an integer number (5171439).

Almost surely, 2106055502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106055502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124114536).

106055502 is an abundant number, since it is smaller than the sum of its proper divisors (142173570).

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

106055502 is a wasteful number, since it uses less digits than its factorization.

106055502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 106055502 is about 10298.3252036436. The cubic root of 106055502 is about 473.3449353545.

The spelling of 106055502 in words is "one hundred six million, fifty-five thousand, five hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 181 294 362 543 1086 1267 1993 2534 3801 3986 5979 7602 8869 11958 13951 17738 26607 27902 41853 53214 83706 97657 195314 292971 360733 585942 721466 1082199 2164398 2525131 5050262 7575393 15150786 17675917 35351834 53027751 106055502