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106522104 = 233132961193
BaseRepresentation
bin1100101100101…
…10010111111000
321102102212212010
412112112113320
5204232201404
614323045520
72432265033
oct626262770
9242385763
10106522104
11551466a7
122b8108a0
13190b8340
141020c01a
159542189
hex65965f8

106522104 has 128 divisors (see below), whose sum is σ = 303105600. Its totient is φ = 30965760.

The previous prime is 106522093. The next prime is 106522109. The reversal of 106522104 is 401225601.

It is a super-2 number, since 2×1065221042 = 22693917281173632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106522109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551832 + ... + 552024.

Almost surely, 2106522104 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 106522104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151552800).

106522104 is an abundant number, since it is smaller than the sum of its proper divisors (196583496).

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

106522104 is a wasteful number, since it uses less digits than its factorization.

106522104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106522104 is about 10320.9546070119. The cubic root of 106522104 is about 474.0380962455.

Adding to 106522104 its reverse (401225601), we get a palindrome (507747705).

The spelling of 106522104 in words is "one hundred six million, five hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 61 78 87 104 116 122 156 174 183 193 232 244 312 348 366 377 386 488 579 696 732 754 772 793 1131 1158 1464 1508 1544 1586 1769 2262 2316 2379 2509 3016 3172 3538 4524 4632 4758 5018 5307 5597 6344 7076 7527 9048 9516 10036 10614 11194 11773 14152 15054 16791 19032 20072 21228 22388 22997 23546 30108 33582 35319 42456 44776 45994 47092 60216 67164 68991 70638 72761 91988 94184 134328 137982 141276 145522 153049 183976 218283 275964 282552 291044 306098 341417 436566 459147 551928 582088 612196 682834 873132 918294 1024251 1224392 1365668 1746264 1836588 2048502 2731336 3673176 4097004 4438421 8194008 8876842 13315263 17753684 26630526 35507368 53261052 106522104