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106363504 = 24136183101
BaseRepresentation
bin1100101011011…
…11101001110000
321102010211022001
412111233221300
5204212113004
614315423344
72431034452
oct625575160
9242124261
10106363504
1155048525
122b754b54
13190610b0
14101aa2d2
1595101a4
hex656fa70

106363504 has 80 divisors (see below), whose sum is σ = 230547744. Its totient is φ = 47232000.

The previous prime is 106363487. The next prime is 106363513. The reversal of 106363504 is 405363601.

It is a super-2 number, since 2×1063635042 = 22626389966316032, 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, 1053054 + ... + 1053154.

Almost surely, 2106363504 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 106363504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115273872).

106363504 is an abundant number, since it is smaller than the sum of its proper divisors (124184240).

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

106363504 is a wasteful number, since it uses less digits than its factorization.

106363504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 106363504 is about 10313.2683471342. The cubic root of 106363504 is about 473.8027154090.

The spelling of 106363504 in words is "one hundred six million, three hundred sixty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 61 83 101 104 122 166 202 208 244 332 404 488 664 793 808 976 1079 1313 1328 1586 1616 2158 2626 3172 4316 5063 5252 6161 6344 8383 8632 10126 10504 12322 12688 16766 17264 20252 21008 24644 33532 40504 49288 65819 67064 80093 81008 98576 108979 131638 134128 160186 217958 263276 320372 435916 511363 526552 640744 871832 1022726 1053104 1281488 1743664 2045452 4090904 6647719 8181808 13295438 26590876 53181752 106363504