105126 has 16 divisors (see below), whose sum is σ = 240384. Its totient is φ = 30024.

The previous prime is 105107. The next prime is 105137. The reversal of 105126 is 621501.

Subtracting from 105126 its sum of digits (15), we obtain a triangular number (105111 = T_{458}).

Adding to 105126 its reverse (621501), we get a palindrome (726627).

It can be divided in two parts, 105 and 126, that added together give a triangular number (231 = T_{21}).

It is a super-2 number, since 2×105126^{2} = 22102951752, 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 7 ways as a sum of consecutive naturals, for example, 1210 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (15024).

2^{105126} is an apocalyptic number.

105126 is an abundant number, since it is smaller than the sum of its proper divisors (135258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105126 is a wasteful number, since it uses less digits than its factorization.

105126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105126 is about 324.2313988496. The cubic root of 105126 is about 47.1958030358.

The spelling of 105126 in words is "one hundred five thousand, one hundred twenty-six".

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