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105240860 = 2256186263
BaseRepresentation
bin1100100010111…
…01100100011100
321100000210022122
412101131210130
5203420201420
614235402112
72415350444
oct621354434
9240023278
10105240860
115445101a
122b2b3338
1318a5a0ca
14dd97124
15938c725
hex645d91c

105240860 has 24 divisors (see below), whose sum is σ = 224631456. Its totient is φ = 41405760.

The previous prime is 105240859. The next prime is 105240869. The reversal of 105240860 is 68042501.

It is a super-2 number, since 2×1052408602 = 22151277227079200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105240869) by changing a digit.

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, 41912 + ... + 44351.

It is an arithmetic number, because the mean of its divisors is an integer number (9359644).

Almost surely, 2105240860 is an apocalyptic number.

105240860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105240860 is an abundant number, since it is smaller than the sum of its proper divisors (119390596).

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

105240860 is a wasteful number, since it uses less digits than its factorization.

105240860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86333 (or 86331 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105240860 is about 10258.6967983268. The cubic root of 105240860 is about 472.1298539111.

The spelling of 105240860 in words is "one hundred five million, two hundred forty thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 86263 172526 345052 431315 862630 1725260 5262043 10524086 21048172 26310215 52620430 105240860