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105340640 = 255658379
BaseRepresentation
bin1100100011101…
…01111011100000
321100012212012012
412101311323200
5203431400030
614241452052
72416244366
oct621657340
9240185165
10105340640
1154509a89
122b341028
1318a93652
14ddc1636
1593ac095
hex6475ee0

105340640 has 24 divisors (see below), whose sum is σ = 248867640. Its totient is φ = 42136192.

The previous prime is 105340639. The next prime is 105340643. The reversal of 105340640 is 46043501.

It is a happy number.

It is a super-2 number, since 2×1053406402 = 22193300871219200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105340643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329030 + ... + 329349.

It is an arithmetic number, because the mean of its divisors is an integer number (10369485).

Almost surely, 2105340640 is an apocalyptic number.

105340640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105340640 is an abundant number, since it is smaller than the sum of its proper divisors (143527000).

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

105340640 is an equidigital number, since it uses as much as digits as its factorization.

105340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658394 (or 658386 counting only the distinct ones).

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

The square root of 105340640 is about 10263.5588369727. The cubic root of 105340640 is about 472.2790172571.

The spelling of 105340640 in words is "one hundred five million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 658379 1316758 2633516 3291895 5267032 6583790 10534064 13167580 21068128 26335160 52670320 105340640