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105627385 = 5233129629
BaseRepresentation
bin1100100101110…
…11111011111001
321100202102112101
412102323323321
5204020034020
614251543401
72421550363
oct622737371
9240672471
10105627385
1154695466
122b45ab61
1318b64016
1410057d33
15941700a
hex64bbef9

105627385 has 16 divisors (see below), whose sum is σ = 136535040. Its totient is φ = 78217920.

The previous prime is 105627383. The next prime is 105627391. The reversal of 105627385 is 583726501.

It is not a de Polignac number, because 105627385 - 21 = 105627383 is a prime.

It is a super-2 number, since 2×1056273852 = 22314288923876450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105627383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11250 + ... + 18379.

It is an arithmetic number, because the mean of its divisors is an integer number (8533440).

Almost surely, 2105627385 is an apocalyptic number.

It is an amenable number.

105627385 is a deficient number, since it is larger than the sum of its proper divisors (30907655).

105627385 is a wasteful number, since it uses less digits than its factorization.

105627385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29688.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 105627385 is about 10277.5184261572. The cubic root of 105627385 is about 472.7071551361.

It can be divided in two parts, 1056 and 27385, that added together give a triangular number (28441 = T238).

The spelling of 105627385 in words is "one hundred five million, six hundred twenty-seven thousand, three hundred eighty-five".

Divisors: 1 5 23 31 115 155 713 3565 29629 148145 681467 918499 3407335 4592495 21125477 105627385