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106556720 = 2451331959
BaseRepresentation
bin1100101100111…
…10110100110000
321102111122100012
412112132310300
5204234303340
614323514052
72432500664
oct626366460
9242448305
10106556720
115516a706
122b828928
13190cb01a
141021a8a4
15954c565
hex659ed30

106556720 has 20 divisors (see below), whose sum is σ = 247744560. Its totient is φ = 42622656.

The previous prime is 106556689. The next prime is 106556741. The reversal of 106556720 is 27655601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1065567202 = 22708669154316800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665900 + ... + 666059.

It is an arithmetic number, because the mean of its divisors is an integer number (12387228).

Almost surely, 2106556720 is an apocalyptic number.

106556720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106556720 is an abundant number, since it is smaller than the sum of its proper divisors (141187840).

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

106556720 is a wasteful number, since it uses less digits than its factorization.

106556720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331972 (or 1331966 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 106556720 is about 10322.6314474556. The cubic root of 106556720 is about 474.0894393469.

The spelling of 106556720 in words is "one hundred six million, five hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1331959 2663918 5327836 6659795 10655672 13319590 21311344 26639180 53278360 106556720