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105411056 = 24291571447
BaseRepresentation
bin1100100100001…
…11000111110000
321100100102210012
412102013013300
5203441123211
614243154052
72416656602
oct622070760
9240312705
10105411056
1154557983
122b375928
1318ab970a
14dddd172
1593c2d8b
hex64871f0

105411056 has 40 divisors (see below), whose sum is σ = 212769120. Its totient is φ = 50529024.

The previous prime is 105411049. The next prime is 105411077. The reversal of 105411056 is 650114501.

It is a super-2 number, since 2×1054110562 = 22222981454070272, 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, 72125 + ... + 73571.

It is an arithmetic number, because the mean of its divisors is an integer number (5319228).

Almost surely, 2105411056 is an apocalyptic number.

105411056 is a gapful number since it is divisible by the number (16) 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 105411056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106384560).

105411056 is an abundant number, since it is smaller than the sum of its proper divisors (107358064).

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

105411056 is a wasteful number, since it uses less digits than its factorization.

105411056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 105411056 is about 10266.9886529595. The cubic root of 105411056 is about 472.3842270220.

Adding to 105411056 its reverse (650114501), we get a palindrome (755525557).

The spelling of 105411056 in words is "one hundred five million, four hundred eleven thousand, fifty-six".

Divisors: 1 2 4 8 16 29 58 116 157 232 314 464 628 1256 1447 2512 2894 4553 5788 9106 11576 18212 23152 36424 41963 72848 83926 167852 227179 335704 454358 671408 908716 1817432 3634864 6588191 13176382 26352764 52705528 105411056