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105424340 = 2257753031
BaseRepresentation
bin1100100100010…
…10010111010100
321100101010000012
412102022113110
5203442034330
614243335352
72420043410
oct622122724
9240333005
10105424340
115456695a
122b381558
1318ac2788
1410003d40
1593c6c95
hex648a5d4

105424340 has 24 divisors (see below), whose sum is σ = 253018752. Its totient is φ = 36145440.

The previous prime is 105424321. The next prime is 105424357. The reversal of 105424340 is 43424501.

It is a super-2 number, since 2×1054243402 = 22228582928871200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376376 + ... + 376655.

It is an arithmetic number, because the mean of its divisors is an integer number (10542448).

Almost surely, 2105424340 is an apocalyptic number.

105424340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105424340 is an abundant number, since it is smaller than the sum of its proper divisors (147594412).

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

105424340 is a wasteful number, since it uses less digits than its factorization.

105424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753047 (or 753045 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 105424340 is about 10267.6355603420. The cubic root of 105424340 is about 472.4040696228.

Adding to 105424340 its reverse (43424501), we get a palindrome (148848841).

The spelling of 105424340 in words is "one hundred five million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 753031 1506062 3012124 3765155 5271217 7530310 10542434 15060620 21084868 26356085 52712170 105424340