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105460660 = 2257696857
BaseRepresentation
bin1100100100100…
…11001110110100
321100102221211101
412102103032310
5203444220120
614244215444
72420254324
oct622231664
9240387741
10105460660
1154591178
122b39a584
1318b06176
1410013284
1593d290a
hex64933b4

105460660 has 24 divisors (see below), whose sum is σ = 221787720. Its totient is φ = 42123264.

The previous prime is 105460657. The next prime is 105460679. The reversal of 105460660 is 66064501.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 104734756 = 852^2 + 10234^2 .

It is a super-2 number, since 2×1054606602 = 22243901615271200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11952 + ... + 18808.

It is an arithmetic number, because the mean of its divisors is an integer number (9241155).

Almost surely, 2105460660 is an apocalyptic number.

105460660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105460660 is an abundant number, since it is smaller than the sum of its proper divisors (116327060).

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

105460660 is a wasteful number, since it uses less digits than its factorization.

105460660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 105460660 is about 10269.4040722916. The cubic root of 105460660 is about 472.4583130920.

The spelling of 105460660 in words is "one hundred five million, four hundred sixty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 769 1538 3076 3845 6857 7690 13714 15380 27428 34285 68570 137140 5273033 10546066 21092132 26365165 52730330 105460660