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105425420 = 22531971753
BaseRepresentation
bin1100100100010…
…10101000001100
321100101011111012
412102022220030
5203442103140
614243344352
72420046512
oct622125014
9240334435
10105425420
1154567751
122b3820b8
1318ac3109
14100044b2
1593c7265
hex648aa0c

105425420 has 48 divisors (see below), whose sum is σ = 231022848. Its totient is φ = 40366080.

The previous prime is 105425407. The next prime is 105425429. The reversal of 105425420 is 24524501.

It is a happy number.

It is a super-2 number, since 2×1054254202 = 22229038364352800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105425429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59264 + ... + 61016.

It is an arithmetic number, because the mean of its divisors is an integer number (4812976).

Almost surely, 2105425420 is an apocalyptic number.

105425420 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 105425420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115511424).

105425420 is an abundant number, since it is smaller than the sum of its proper divisors (125597428).

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

105425420 is a wasteful number, since it uses less digits than its factorization.

105425420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 105425420 is about 10267.6881526466. The cubic root of 105425420 is about 472.4056827691.

Adding to 105425420 its reverse (24524501), we get a palindrome (129949921).

The spelling of 105425420 in words is "one hundred five million, four hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 97 124 155 194 310 388 485 620 970 1753 1940 3007 3506 6014 7012 8765 12028 15035 17530 30070 35060 54343 60140 108686 170041 217372 271715 340082 543430 680164 850205 1086860 1700410 3400820 5271271 10542542 21085084 26356355 52712710 105425420