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106044860 = 22541791637
BaseRepresentation
bin1100101001000…
…01110110111100
321101112122012102
412110201312330
5204121413420
614304524232
72425236455
oct624416674
9241478172
10106044860
1154950089
122b620678
1318c7c04c
141012612c
15949aa75
hex6521dbc

106044860 has 48 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 40834560.

The previous prime is 106044859. The next prime is 106044863. The reversal of 106044860 is 68440601.

It is a super-2 number, since 2×1060448602 = 22491024664839200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106044863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63962 + ... + 65598.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2106044860 is an apocalyptic number.

106044860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106044860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

106044860 is an abundant number, since it is smaller than the sum of its proper divisors (125109700).

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

106044860 is a wasteful number, since it uses less digits than its factorization.

106044860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 106044860 is about 10297.8085047257. The cubic root of 106044860 is about 473.3291024330.

The spelling of 106044860 in words is "one hundred six million, forty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 41 79 82 158 164 205 316 395 410 790 820 1580 1637 3239 3274 6478 6548 8185 12956 16195 16370 32390 32740 64780 67117 129323 134234 258646 268468 335585 517292 646615 671170 1293230 1342340 2586460 5302243 10604486 21208972 26511215 53022430 106044860