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105425400 = 23352175709
BaseRepresentation
bin1100100100010…
…10100111111000
321100101011110110
412102022213320
5203442103100
614243344320
72420046453
oct622124770
9240334413
10105425400
1154567733
122b3820a0
1318ac30c2
141000449a
1593c7250
hex648a9f8

105425400 has 48 divisors (see below), whose sum is σ = 326820600. Its totient is φ = 28113280.

The previous prime is 105425377. The next prime is 105425407. The reversal of 105425400 is 4524501.

It is a super-2 number, since 2×1054254002 = 22229029930320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105425407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 87255 + ... + 88454.

Almost surely, 2105425400 is an apocalyptic number.

105425400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105425400 is an abundant number, since it is smaller than the sum of its proper divisors (221395200).

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

105425400 is a wasteful number, since it uses less digits than its factorization.

105425400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175728 (or 175719 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105425400 is about 10267.6871787175. The cubic root of 105425400 is about 472.4056528961.

Adding to 105425400 its reverse (4524501), we get a palindrome (109949901).

The spelling of 105425400 in words is "one hundred five million, four hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 175709 351418 527127 702836 878545 1054254 1405672 1757090 2108508 2635635 3514180 4217016 4392725 5271270 7028360 8785450 10542540 13178175 17570900 21085080 26356350 35141800 52712700 105425400