126042105 has 32 divisors (see below), whose sum is σ = 242611200. Its totient is φ = 54585792.

The previous prime is 126042101. The next prime is 126042107. The reversal of 126042105 is 501240621.

It is not a de Polignac number, because 126042105 - 2² = 126042101 is a prime.

It is a super-2 number, since 2×126042105² = 31773224465662050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (126042101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29595 + ... + 33584.

It is an arithmetic number, because the mean of its divisors is an integer number (7581600).

Almost surely, 2^126042105 is an apocalyptic number.

126042105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126042105 is a deficient number, since it is larger than the sum of its proper divisors (116569095).

126042105 is a wasteful number, since it uses less digits than its factorization.

126042105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63213.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 126042105 is about 11226.8475094302. The cubic root of 126042105 is about 501.3856298460.

Adding to 126042105 its reverse (501240621), we get a palindrome (627282726).

It can be divided in two parts, 1260 and 42105, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 126042105 in words is "one hundred twenty-six million, forty-two thousand, one hundred five".