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105420350 = 2527359839
BaseRepresentation
bin1100100100010…
…01011000111110
321100100220112102
412102021120332
5203441422400
614243305102
72420025650
oct622113076
9240326472
10105420350
1154563962
122b37b192
1318ac0a09
14100026d0
1593c59d5
hex648963e

105420350 has 48 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 36000480.

The previous prime is 105420323. The next prime is 105420353. The reversal of 105420350 is 53024501.

It is a super-2 number, since 2×1054203502 = 22226900388245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105420353) 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 23 ways as a sum of consecutive naturals, for example, 125231 + ... + 126069.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2105420350 is an apocalyptic number.

105420350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105420350 is an abundant number, since it is smaller than the sum of its proper divisors (119565250).

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

105420350 is a wasteful number, since it uses less digits than its factorization.

105420350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105420350 is about 10267.4412586584. The cubic root of 105420350 is about 472.3981098478.

Adding to 105420350 its reverse (53024501), we get a palindrome (158444851).

The spelling of 105420350 in words is "one hundred five million, four hundred twenty thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 359 718 839 1678 1795 2513 3590 4195 5026 5873 8390 8975 11746 12565 17950 20975 25130 29365 41950 58730 62825 125650 146825 293650 301201 602402 1506005 2108407 3012010 4216814 7530025 10542035 15060050 21084070 52710175 105420350