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106775604 = 223313591289
BaseRepresentation
bin1100101110101…
…00010000110100
321102220202121000
412113110100310
5204313304404
614332323300
72434402065
oct627242064
9242822530
10106775604
11552aa101
122b913530
1319176840
141027656c
159592339
hex65d4434

106775604 has 96 divisors (see below), whose sum is σ = 303408000. Its totient is φ = 32272128.

The previous prime is 106775569. The next prime is 106775653. The reversal of 106775604 is 406577601.

It is a super-2 number, since 2×1067756042 = 22802059219129632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82192 + ... + 83480.

It is an arithmetic number, because the mean of its divisors is an integer number (3160500).

Almost surely, 2106775604 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 106775604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151704000).

106775604 is an abundant number, since it is smaller than the sum of its proper divisors (196632396).

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

106775604 is a wasteful number, since it uses less digits than its factorization.

106775604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106775604 is about 10333.2281500023. The cubic root of 106775604 is about 474.4138350309.

The spelling of 106775604 in words is "one hundred six million, seven hundred seventy-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 108 117 118 156 177 234 236 351 354 468 531 702 708 767 1062 1289 1404 1534 1593 2124 2301 2578 3068 3186 3867 4602 5156 6372 6903 7734 9204 11601 13806 15468 16757 20709 23202 27612 33514 34803 41418 46404 50271 67028 69606 76051 82836 100542 139212 150813 152102 201084 228153 301626 304204 452439 456306 603252 684459 904878 912612 988663 1368918 1809756 1977326 2053377 2737836 2965989 3954652 4106754 5931978 8213508 8897967 11863956 17795934 26693901 35591868 53387802 106775604