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105523020 = 22335195413
BaseRepresentation
bin1100100101000…
…10011101001100
321100120010101000
412102202131030
5204003214040
614245420300
72420634201
oct622423514
9240503330
10105523020
1154624009
122b40a690
1318b28675
141002bca8
1593e6130
hex64a274c

105523020 has 48 divisors (see below), whose sum is σ = 328295520. Its totient is φ = 28139328.

The previous prime is 105523013. The next prime is 105523021. The reversal of 105523020 is 20325501.

It is a happy number.

It is a super-2 number, since 2×1055230202 = 22270215499840800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105522984 and 105523002.

It is not an unprimeable number, because it can be changed into a prime (105523021) 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, 97167 + ... + 98246.

It is an arithmetic number, because the mean of its divisors is an integer number (6839490).

Almost surely, 2105523020 is an apocalyptic number.

105523020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105523020 is an abundant number, since it is smaller than the sum of its proper divisors (222772500).

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

105523020 is a wasteful number, since it uses less digits than its factorization.

105523020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195431 (or 195423 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105523020 is about 10272.4398270323. The cubic root of 105523020 is about 472.5514179368.

Adding to 105523020 its reverse (20325501), we get a palindrome (125848521).

The spelling of 105523020 in words is "one hundred five million, five hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 195413 390826 586239 781652 977065 1172478 1758717 1954130 2344956 2931195 3517434 3908260 5276151 5862390 7034868 8793585 10552302 11724780 17587170 21104604 26380755 35174340 52761510 105523020