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105266061 = 341968399
BaseRepresentation
bin1100100011000…
…11101110001101
321100002001220000
412101203232031
5203422003221
614240114513
72415514065
oct621435615
9240061800
10105266061
1154468a4a
122b305a39
1318a68714
14dda23a5
159394e26
hex6463b8d

105266061 has 20 divisors (see below), whose sum is σ = 165528000. Its totient is φ = 66482856.

The previous prime is 105266059. The next prime is 105266069. The reversal of 105266061 is 160662501.

It is a happy number.

105266061 is a `hidden beast` number, since 1 + 0 + 52 + 6 + 606 + 1 = 666.

It is not a de Polignac number, because 105266061 - 21 = 105266059 is a prime.

It is a super-2 number, since 2×1052660612 = 22161887196911442, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105266069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32661 + ... + 35738.

It is an arithmetic number, because the mean of its divisors is an integer number (8276400).

Almost surely, 2105266061 is an apocalyptic number.

It is an amenable number.

105266061 is a deficient number, since it is larger than the sum of its proper divisors (60261939).

105266061 is an equidigital number, since it uses as much as digits as its factorization.

105266061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68430 (or 68421 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105266061 is about 10259.9249997259. The cubic root of 105266061 is about 472.1675363437.

The spelling of 105266061 in words is "one hundred five million, two hundred sixty-six thousand, sixty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 68399 205197 615591 1299581 1846773 3898743 5540319 11696229 35088687 105266061