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106980096 = 283139297
BaseRepresentation
bin1100110000001…
…10001100000000
321110022011002210
412120012030000
5204341330341
614340542120
72436213216
oct630061400
9243264083
10106980096
1155429803
122b9b1940
1319218942
14102cacb6
1595d2c16
hex6606300

106980096 has 36 divisors (see below), whose sum is σ = 284725112. Its totient is φ = 35659776.

The previous prime is 106980091. The next prime is 106980103. The reversal of 106980096 is 690089601.

It is a super-2 number, since 2×1069800962 = 22889481880338432, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (106980091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68881 + ... + 70416.

Almost surely, 2106980096 is an apocalyptic number.

106980096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106980096 is an abundant number, since it is smaller than the sum of its proper divisors (177745016).

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

106980096 is an equidigital number, since it uses as much as digits as its factorization.

106980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139316 (or 139302 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 106980096 is about 10343.1182918886. The cubic root of 106980096 is about 474.7165008207.

The spelling of 106980096 in words is "one hundred six million, nine hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 139297 278594 417891 557188 835782 1114376 1671564 2228752 3343128 4457504 6686256 8915008 13372512 17830016 26745024 35660032 53490048 106980096