126821105 has 24 divisors (see below), whose sum is σ = 170105832. Its totient is φ = 90441216.

The previous prime is 126821099. The next prime is 126821111. The reversal of 126821105 is 501128621.

It is an interprime number because it is at equal distance from previous prime (126821099) and next prime (126821111).

It can be written as a sum of positive squares in 4 ways, for example, as 39790864 + 87030241 = 6308^2 + 9329^2 .

It is a de Polignac number, because none of the positive numbers 2^k-126821105 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28619 + ... + 32751.

It is an arithmetic number, because the mean of its divisors is an integer number (7087743).

Almost surely, 2^126821105 is an apocalyptic number.

It is an amenable number.

126821105 is a deficient number, since it is larger than the sum of its proper divisors (43284727).

126821105 is a wasteful number, since it uses less digits than its factorization.

126821105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 126821105 is about 11261.4876903542. The cubic root of 126821105 is about 502.4164427950.

Adding to 126821105 its reverse (501128621), we get a palindrome (627949726).

The spelling of 126821105 in words is "one hundred twenty-six million, eight hundred twenty-one thousand, one hundred five".