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105595230 = 23513733709
BaseRepresentation
bin1100100101101…
…00000101011110
321100200210102110
412102310011132
5204013021410
614251134450
72421354546
oct622640536
9240623373
10105595230
1154673294
122b444426
1318b524b0
141004a326
15940c720
hex64b415e

105595230 has 64 divisors (see below), whose sum is σ = 276736320. Its totient is φ = 25629696.

The previous prime is 105595187. The next prime is 105595241. The reversal of 105595230 is 32595501.

It is a super-2 number, since 2×1055952302 = 22300705197505800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 26616 + ... + 30324.

It is an arithmetic number, because the mean of its divisors is an integer number (4324005).

Almost surely, 2105595230 is an apocalyptic number.

105595230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105595230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138368160).

105595230 is an abundant number, since it is smaller than the sum of its proper divisors (171141090).

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

105595230 is a wasteful number, since it uses less digits than its factorization.

105595230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805.

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 105595230 is about 10275.9539703134. The cubic root of 105595230 is about 472.6591832293.

The spelling of 105595230 in words is "one hundred five million, five hundred ninety-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 365 390 438 730 949 1095 1898 2190 2847 3709 4745 5694 7418 9490 11127 14235 18545 22254 28470 37090 48217 55635 96434 111270 144651 241085 270757 289302 482170 541514 723255 812271 1353785 1446510 1624542 2707570 3519841 4061355 7039682 8122710 10559523 17599205 21119046 35198410 52797615 105595230