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105933381 = 3414320029
BaseRepresentation
bin1100101000001…
…10101001000101
321101022222021120
412110012221011
5204104332011
614302304153
72424263451
oct624065105
9241288246
10105933381
1154884354
122b588059
1318c40398
14100d7661
159477a06
hex6506a45

105933381 has 16 divisors (see below), whose sum is σ = 148061760. Its totient is φ = 67294080.

The previous prime is 105933371. The next prime is 105933389. The reversal of 105933381 is 183339501.

It is not a de Polignac number, because 105933381 - 210 = 105932357 is a prime.

It is a super-2 number, since 2×1059333812 = 22443762420182322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105933389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4726 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (9253860).

Almost surely, 2105933381 is an apocalyptic number.

It is an amenable number.

105933381 is a deficient number, since it is larger than the sum of its proper divisors (42128379).

105933381 is a wasteful number, since it uses less digits than its factorization.

105933381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20116.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 105933381 is about 10292.3943278520. The cubic root of 105933381 is about 473.1631828531.

The spelling of 105933381 in words is "one hundred five million, nine hundred thirty-three thousand, three hundred eighty-one".

Divisors: 1 3 41 43 123 129 1763 5289 20029 60087 821189 861247 2463567 2583741 35311127 105933381