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105401241 = 32111762627
BaseRepresentation
bin1100100100001…
…00101110011001
321100022221022200
412102010232121
5203440314431
614243040413
72416616151
oct622045631
9240287280
10105401241
1154550570
122b370109
1318ab50ca
14ddd9761
1593beee6
hex6484b99

105401241 has 24 divisors (see below), whose sum is σ = 175859424. Its totient is φ = 60120960.

The previous prime is 105401137. The next prime is 105401281. The reversal of 105401241 is 142104501.

105401241 is a `hidden beast` number, since 1 + 0 + 540 + 124 + 1 = 666.

It is not a de Polignac number, because 105401241 - 226 = 38292377 is a prime.

It is a super-2 number, since 2×1054012412 = 22218843208680162, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105401281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29631 + ... + 32996.

It is an arithmetic number, because the mean of its divisors is an integer number (7327476).

Almost surely, 2105401241 is an apocalyptic number.

105401241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105401241 is a deficient number, since it is larger than the sum of its proper divisors (70458183).

105401241 is a wasteful number, since it uses less digits than its factorization.

105401241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62661 (or 62658 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105401241 is about 10266.5106535765. The cubic root of 105401241 is about 472.3695650714.

Adding to 105401241 its reverse (142104501), we get a palindrome (247505742).

It can be divided in two parts, 10540 and 1241, that added together give a triangular number (11781 = T153).

The spelling of 105401241 in words is "one hundred five million, four hundred one thousand, two hundred forty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 62627 187881 563643 688897 1064659 2066691 3193977 6200073 9581931 11711249 35133747 105401241