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106924216 = 23761113277
BaseRepresentation
bin1100101111110…
…00100010111000
321110012022110011
412113320202320
5204333033331
614335431304
72435561260
oct627704270
9243168404
10106924216
11553a0823
122b985534
13191c9389
14102b47a0
1595c13b1
hex65f88b8

106924216 has 64 divisors (see below), whose sum is σ = 235788480. Its totient is φ = 44513280.

The previous prime is 106924159. The next prime is 106924241. The reversal of 106924216 is 612429601.

It is a super-2 number, since 2×1069242162 = 22865575934429312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385870 + ... + 386146.

It is an arithmetic number, because the mean of its divisors is an integer number (3684195).

Almost surely, 2106924216 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 106924216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117894240).

106924216 is an abundant number, since it is smaller than the sum of its proper divisors (128864264).

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

106924216 is a wasteful number, since it uses less digits than its factorization.

106924216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 106924216 is about 10340.4166260359. The cubic root of 106924216 is about 474.6338319283.

The spelling of 106924216 in words is "one hundred six million, nine hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 61 113 122 226 244 277 427 452 488 554 791 854 904 1108 1582 1708 1939 2216 3164 3416 3878 6328 6893 7756 13786 15512 16897 27572 31301 33794 48251 55144 62602 67588 96502 118279 125204 135176 193004 219107 236558 250408 386008 438214 473116 876428 946232 1752856 1909361 3818722 7637444 13365527 15274888 26731054 53462108 106924216