Search a number
-
+
105723820 = 2255286191
BaseRepresentation
bin1100100110100…
…11011110101100
321100221022211001
412103103132230
5204031130240
614254010044
72422431466
oct623233654
9240838731
10105723820
1154750964
122b4a6924
1318b98b97
1410081136
15943589a
hex64d37ac

105723820 has 12 divisors (see below), whose sum is σ = 222020064. Its totient is φ = 42289520.

The previous prime is 105723781. The next prime is 105723887. The reversal of 105723820 is 28327501.

It is a super-2 number, since 2×1057238202 = 22355052230784800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2643076 + ... + 2643115.

It is an arithmetic number, because the mean of its divisors is an integer number (18501672).

Almost surely, 2105723820 is an apocalyptic number.

105723820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105723820 is an abundant number, since it is smaller than the sum of its proper divisors (116296244).

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

105723820 is a wasteful number, since it uses less digits than its factorization.

105723820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286200 (or 5286198 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105723820 is about 10282.2089066504. The cubic root of 105723820 is about 472.8509677429.

The spelling of 105723820 in words is "one hundred five million, seven hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 5286191 10572382 21144764 26430955 52861910 105723820