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105261021 = 3253220673
BaseRepresentation
bin1100100011000…
…10011111011101
321100001210222100
412101202133131
5203421323041
614240035313
72415463305
oct621423735
9240053870
10105261021
1154465188
122b302b39
1318a66338
14dda0605
1593936b6
hex64627dd

105261021 has 12 divisors (see below), whose sum is σ = 154913148. Its totient is φ = 68849664.

The previous prime is 105261019. The next prime is 105261049. The reversal of 105261021 is 120162501.

105261021 is a `hidden beast` number, since 1 + 0 + 52 + 610 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41100921 + 64160100 = 6411^2 + 8010^2 .

It is not a de Polignac number, because 105261021 - 21 = 105261019 is a prime.

It is a super-2 number, since 2×1052610212 = 22159765083924882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105260985 and 105261003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105261011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109860 + ... + 110813.

It is an arithmetic number, because the mean of its divisors is an integer number (12909429).

Almost surely, 2105261021 is an apocalyptic number.

It is an amenable number.

105261021 is a deficient number, since it is larger than the sum of its proper divisors (49652127).

105261021 is a wasteful number, since it uses less digits than its factorization.

105261021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220732 (or 220729 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105261021 is about 10259.6793809553. The cubic root of 105261021 is about 472.1600006374.

The spelling of 105261021 in words is "one hundred five million, two hundred sixty-one thousand, twenty-one".

Divisors: 1 3 9 53 159 477 220673 662019 1986057 11695669 35087007 105261021