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105458540 = 22511479357
BaseRepresentation
bin1100100100100…
…10101101101100
321100102211220212
412102102231230
5203444133130
614244201552
72420245205
oct622225554
9240384825
10105458540
115458a620
122b3992b8
1318b05205
14100125ac
1593d1e95
hex6492b6c

105458540 has 24 divisors (see below), whose sum is σ = 241596432. Its totient is φ = 38348480.

The previous prime is 105458533. The next prime is 105458543. The reversal of 105458540 is 45854501.

It is a super-2 number, since 2×1054585402 = 22243007317863200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105458497 and 105458506.

It is not an unprimeable number, because it can be changed into a prime (105458543) 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 7 ways as a sum of consecutive naturals, for example, 239459 + ... + 239898.

It is an arithmetic number, because the mean of its divisors is an integer number (10066518).

Almost surely, 2105458540 is an apocalyptic number.

105458540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105458540 is an abundant number, since it is smaller than the sum of its proper divisors (136137892).

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

105458540 is a wasteful number, since it uses less digits than its factorization.

105458540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479377 (or 479375 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 105458540 is about 10269.3008525410. The cubic root of 105458540 is about 472.4551472406.

The spelling of 105458540 in words is "one hundred five million, four hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 479357 958714 1917428 2396785 4793570 5272927 9587140 10545854 21091708 26364635 52729270 105458540