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106231400 = 235211109443
BaseRepresentation
bin1100101010011…
…11011001101000
321101220010002022
412111033121220
5204143401100
614312524012
72426644352
oct625173150
9241803068
10106231400
1154a68250
122b6b0608
1319015c22
14101740d2
1594d5e85
hex654f668

106231400 has 96 divisors (see below), whose sum is σ = 272527200. Its totient is φ = 38188800.

The previous prime is 106231399. The next prime is 106231409. The reversal of 106231400 is 4132601.

It is a super-2 number, since 2×1062314002 = 22570220691920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106231409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239579 + ... + 240021.

It is an arithmetic number, because the mean of its divisors is an integer number (2838825).

Almost surely, 2106231400 is an apocalyptic number.

106231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136263600).

106231400 is an abundant number, since it is smaller than the sum of its proper divisors (166295800).

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

106231400 is a wasteful number, since it uses less digits than its factorization.

106231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 106231400 is about 10306.8617920296. The cubic root of 106231400 is about 473.6064790362.

The spelling of 106231400 in words is "one hundred six million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 109 110 200 218 220 275 436 440 443 545 550 872 886 1090 1100 1199 1772 2180 2200 2215 2398 2725 3544 4360 4430 4796 4873 5450 5995 8860 9592 9746 10900 11075 11990 17720 19492 21800 22150 23980 24365 29975 38984 44300 47960 48287 48730 59950 88600 96574 97460 119900 121825 193148 194920 239800 241435 243650 386296 482870 487300 531157 965740 974600 1062314 1207175 1931480 2124628 2414350 2655785 4249256 4828700 5311570 9657400 10623140 13278925 21246280 26557850 53115700 106231400