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106450104 = 23341251431
BaseRepresentation
bin1100101100001…
…00110010111000
321102022020002110
412112010302320
5204222400404
614321332320
72431545105
oct626046270
9242266073
10106450104
11550a75a2
122b7970a0
1319091637
14101cdaac
15952ab89
hex6584cb8

106450104 has 64 divisors (see below), whose sum is σ = 274337280. Its totient is φ = 34400000.

The previous prime is 106450093. The next prime is 106450111. The reversal of 106450104 is 401054601.

It is a super-2 number, since 2×1064501042 = 22663249283221632, 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, 246769 + ... + 247199.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2106450104 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 106450104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

106450104 is an abundant number, since it is smaller than the sum of its proper divisors (167887176).

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

106450104 is a wasteful number, since it uses less digits than its factorization.

106450104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

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

The square root of 106450104 is about 10317.4659679594. The cubic root of 106450104 is about 473.9312688536.

The spelling of 106450104 in words is "one hundred six million, four hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 251 328 431 492 502 753 862 984 1004 1293 1506 1724 2008 2586 3012 3448 5172 6024 10291 10344 17671 20582 30873 35342 41164 53013 61746 70684 82328 106026 108181 123492 141368 212052 216362 246984 324543 424104 432724 649086 865448 1298172 2596344 4435421 8870842 13306263 17741684 26612526 35483368 53225052 106450104