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105124660 = 2255256233
BaseRepresentation
bin1100100010000…
…01001100110100
321022210212220221
412101001030310
5203402442120
614233104124
72414354614
oct621011464
9238725827
10105124660
1154381793
122b258044
1318a19254
14dd66a44
1593680aa
hex6441334

105124660 has 12 divisors (see below), whose sum is σ = 220761828. Its totient is φ = 42049856.

The previous prime is 105124639. The next prime is 105124673. The reversal of 105124660 is 66421501.

It can be written as a sum of positive squares in 2 ways, for example, as 71808676 + 33315984 = 8474^2 + 5772^2 .

It is a super-2 number, since 2×1051246602 = 22102388280231200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2628097 + ... + 2628136.

It is an arithmetic number, because the mean of its divisors is an integer number (18396819).

Almost surely, 2105124660 is an apocalyptic number.

105124660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105124660 is an abundant number, since it is smaller than the sum of its proper divisors (115637168).

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

105124660 is a wasteful number, since it uses less digits than its factorization.

105124660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256242 (or 5256240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105124660 is about 10253.0317467567. The cubic root of 105124660 is about 471.9560250614.

The spelling of 105124660 in words is "one hundred five million, one hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 5256233 10512466 21024932 26281165 52562330 105124660