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105342620 = 22542112511
BaseRepresentation
bin1100100011101…
…10011010011100
321100012221220112
412101312122130
5203431430440
614241505152
72416253225
oct621663234
9240187815
10105342620
1154510519
122b3421b8
1318a94516
14ddc224c
1593ac965
hex647669c

105342620 has 24 divisors (see below), whose sum is σ = 221762688. Its totient is φ = 42033600.

The previous prime is 105342569. The next prime is 105342623. The reversal of 105342620 is 26243501.

It is a super-2 number, since 2×1053426202 = 22194135176928800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2165 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (9240112).

Almost surely, 2105342620 is an apocalyptic number.

105342620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105342620 is an abundant number, since it is smaller than the sum of its proper divisors (116420068).

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

105342620 is a wasteful number, since it uses less digits than its factorization.

105342620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12941 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 105342620 is about 10263.6552942897. The cubic root of 105342620 is about 472.2819762499.

The spelling of 105342620 in words is "one hundred five million, three hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 4210 8420 12511 25022 50044 62555 125110 250220 5267131 10534262 21068524 26335655 52671310 105342620