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106660820 = 2257761863
BaseRepresentation
bin1100101101110…
…00001111010100
321102200221010202
412112320033110
5204301121240
614330040032
72433413330
oct626701724
9242627122
10106660820
1155230942
122b879018
1319136516
14102467c0
15956d315
hex65b83d4

106660820 has 24 divisors (see below), whose sum is σ = 255986304. Its totient is φ = 36569376.

The previous prime is 106660819. The next prime is 106660861. The reversal of 106660820 is 28066601.

It is a super-2 number, since 2×1066608202 = 22753061046144800, 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 7 ways as a sum of consecutive naturals, for example, 380792 + ... + 381071.

It is an arithmetic number, because the mean of its divisors is an integer number (10666096).

Almost surely, 2106660820 is an apocalyptic number.

106660820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106660820 is an abundant number, since it is smaller than the sum of its proper divisors (149325484).

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

106660820 is a wasteful number, since it uses less digits than its factorization.

106660820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761879 (or 761877 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 106660820 is about 10327.6725354748. The cubic root of 106660820 is about 474.2437754531.

The spelling of 106660820 in words is "one hundred six million, six hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 761863 1523726 3047452 3809315 5333041 7618630 10666082 15237260 21332164 26665205 53330410 106660820