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106010365 = 5374011429
BaseRepresentation
bin1100101000110…
…01011011111101
321101110212212211
412110121123331
5204114312430
614304100421
72425034056
oct624313375
9241425784
10106010365
115492717a
122b604711
1318c69436
141011772d
15949072a
hex65196fd

106010365 has 16 divisors (see below), whose sum is σ = 131068080. Its totient is φ = 82252800.

The previous prime is 106010353. The next prime is 106010383. The reversal of 106010365 is 563010601.

It can be written as a sum of positive squares in 8 ways, for example, as 5890329 + 100120036 = 2427^2 + 10006^2 .

It is not a de Polignac number, because 106010365 - 221 = 103913213 is a prime.

It is a super-2 number, since 2×1060103652 = 22476394974866450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73471 + ... + 74899.

It is an arithmetic number, because the mean of its divisors is an integer number (8191755).

Almost surely, 2106010365 is an apocalyptic number.

It is an amenable number.

106010365 is a deficient number, since it is larger than the sum of its proper divisors (25057715).

106010365 is a wasteful number, since it uses less digits than its factorization.

106010365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 106010365 is about 10296.1334975805. The cubic root of 106010365 is about 473.2777742873.

Adding to 106010365 its reverse (563010601), we get a palindrome (669020966).

The spelling of 106010365 in words is "one hundred six million, ten thousand, three hundred sixty-five".

Divisors: 1 5 37 185 401 1429 2005 7145 14837 52873 74185 264365 573029 2865145 21202073 106010365