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106452801 = 32713196841
BaseRepresentation
bin1100101100001…
…01011101000001
321102022100210100
412112011131001
5204222442201
614321353013
72431556010
oct626053501
9242270710
10106452801
11550a9624
122b798769
1319092930
14101d0a77
15952b886
hex6585741

106452801 has 48 divisors (see below), whose sum is σ = 199239040. Its totient is φ = 53187840.

The previous prime is 106452781. The next prime is 106452803. The reversal of 106452801 is 108254601.

106452801 is a `hidden beast` number, since 10 + 645 + 2 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 106452801 - 214 = 106436417 is a prime.

It is a super-2 number, since 2×1064528012 = 22664397681491202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106452803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12141 + ... + 18981.

Almost surely, 2106452801 is an apocalyptic number.

It is an amenable number.

106452801 is a deficient number, since it is larger than the sum of its proper divisors (92786239).

106452801 is a wasteful number, since it uses less digits than its factorization.

106452801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106452801 is about 10317.5966678292. The cubic root of 106452801 is about 473.9352712979.

The spelling of 106452801 in words is "one hundred six million, four hundred fifty-two thousand, eight hundred one".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1197 1729 2223 5187 6841 15561 20523 47887 61569 88933 129979 143661 266799 389937 430983 622531 800397 909853 1169811 1689727 1867593 2729559 5069181 5602779 8188677 11828089 15207543 35484267 106452801