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106808504 = 231123113467
BaseRepresentation
bin1100101110111…
…00010010111000
321102222102201112
412113130102320
5204320333004
614333135452
72434600025
oct627342270
9242872645
10106808504
11553218a0
122b92a588
13191887ca
141028454c
15959be6e
hex65dc4b8

106808504 has 64 divisors (see below), whose sum is σ = 230480640. Its totient is φ = 45928960.

The previous prime is 106808503. The next prime is 106808509. The reversal of 106808504 is 405808601.

It is a super-2 number, since 2×1068085042 = 22816113053436032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106808503) 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, 228479 + ... + 228945.

It is an arithmetic number, because the mean of its divisors is an integer number (3601260).

Almost surely, 2106808504 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 106808504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115240320).

106808504 is an abundant number, since it is smaller than the sum of its proper divisors (123672136).

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

106808504 is a wasteful number, since it uses less digits than its factorization.

106808504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 106808504 is about 10334.8199790804. The cubic root of 106808504 is about 474.4625559365.

The spelling of 106808504 in words is "one hundred six million, eight hundred eight thousand, five hundred four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 113 184 226 253 452 467 506 904 934 1012 1243 1868 2024 2486 2599 3736 4972 5137 5198 9944 10274 10396 10741 20548 20792 21482 28589 41096 42964 52771 57178 85928 105542 114356 118151 211084 228712 236302 422168 472604 580481 945208 1160962 1213733 2321924 2427466 4643848 4854932 9709864 13351063 26702126 53404252 106808504