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105063036 = 223131275303
BaseRepresentation
bin1100100001100…
…10001001111100
321022200202101120
412100302021330
5203344004121
614231510540
72414010141
oct620621174
9238622346
10105063036
115433a461
122b228450
13189c71a0
14dd4c3c8
159354bc6
hex643227c

105063036 has 48 divisors (see below), whose sum is σ = 266133504. Its totient is φ = 32066496.

The previous prime is 105062963. The next prime is 105063047. The reversal of 105063036 is 630360501.

It is a super-2 number, since 2×1050630362 = 22076483067074592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105062997 and 105063015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17161 + ... + 22463.

It is an arithmetic number, because the mean of its divisors is an integer number (5544448).

Almost surely, 2105063036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105063036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133066752).

105063036 is an abundant number, since it is smaller than the sum of its proper divisors (161070468).

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

105063036 is a wasteful number, since it uses less digits than its factorization.

105063036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 105063036 is about 10250.0261463081. The cubic root of 105063036 is about 471.8637869417.

The spelling of 105063036 in words is "one hundred five million, sixty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1524 1651 3302 4953 5303 6604 9906 10606 15909 19812 21212 31818 63636 68939 137878 206817 275756 413634 673481 827268 1346962 2020443 2693924 4040886 8081772 8755253 17510506 26265759 35021012 52531518 105063036