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106065020 = 2256779153
BaseRepresentation
bin1100101001001…
…10110001111100
321101120122212002
412110212301330
5204123040040
614305201432
72425352315
oct624466174
9241518762
10106065020
1154964246
122b630278
1318c88289
141012d60c
1594a1a15
hex6526c7c

106065020 has 24 divisors (see below), whose sum is σ = 226063824. Its totient is φ = 41792256.

The previous prime is 106065017. The next prime is 106065053. The reversal of 106065020 is 20560601.

It is a super-2 number, since 2×1060650202 = 22499576935200800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 106064983 and 106065001.

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, 38237 + ... + 40916.

It is an arithmetic number, because the mean of its divisors is an integer number (9419326).

Almost surely, 2106065020 is an apocalyptic number.

106065020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106065020 is an abundant number, since it is smaller than the sum of its proper divisors (119998804).

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

106065020 is a wasteful number, since it uses less digits than its factorization.

106065020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79229 (or 79227 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106065020 is about 10298.7873072513. The cubic root of 106065020 is about 473.3590951175.

The spelling of 106065020 in words is "one hundred six million, sixty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 79153 158306 316612 395765 791530 1583060 5303251 10606502 21213004 26516255 53032510 106065020