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105629 = 531993
BaseRepresentation
bin11001110010011101
312100220012
4121302131
511340004
62133005
7616646
oct316235
9170805
10105629
11723a7
1251165
1339104
142a6cd
152146e
hex19c9d

105629 has 4 divisors (see below), whose sum is σ = 107676. Its totient is φ = 103584.

The previous prime is 105619. The next prime is 105649. The reversal of 105629 is 926501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 926501 = 2114391.

It can be written as a sum of positive squares in 2 ways, for example, as 76729 + 28900 = 277^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 105629 - 24 = 105613 is a prime.

It is a super-2 number, since 2×1056292 = 22314971282, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105619) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 944 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (26919).

2105629 is an apocalyptic number.

It is an amenable number.

105629 is a deficient number, since it is larger than the sum of its proper divisors (2047).

105629 is an equidigital number, since it uses as much as digits as its factorization.

105629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105629 is about 325.0061537879. The cubic root of 105629 is about 47.2709564291.

The spelling of 105629 in words is "one hundred five thousand, six hundred twenty-nine".

Divisors: 1 53 1993 105629