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106064520 = 2335883871
BaseRepresentation
bin1100101001001…
…10101010001000
321101120122011120
412110212222020
5204123031040
614305155240
72425351002
oct624465210
9241518146
10106064520
1154963931
122b62bb20
1318c87c93
141012d372
1594a17d0
hex6526a88

106064520 has 32 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 28283840.

The previous prime is 106064507. The next prime is 106064527. The reversal of 106064520 is 25460601.

It is a super-2 number, since 2×1060645202 = 22499364805660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106064527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441816 + ... + 442055.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2106064520 is an apocalyptic number.

106064520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106064520 is an abundant number, since it is smaller than the sum of its proper divisors (212129400).

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

106064520 is a wasteful number, since it uses less digits than its factorization.

106064520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883885 (or 883881 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106064520 is about 10298.7630325200. The cubic root of 106064520 is about 473.3583512973.

The spelling of 106064520 in words is "one hundred six million, sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 883871 1767742 2651613 3535484 4419355 5303226 7070968 8838710 10606452 13258065 17677420 21212904 26516130 35354840 53032260 106064520