541031106 has 64 divisors (see below), whose sum is σ = 1357839360. Its totient is φ = 139613760.

The previous prime is 541031083. The next prime is 541031107. The reversal of 541031106 is 601130145.

541031106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (541031107) 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, 68805 + ... + 76263.

It is an arithmetic number, because the mean of its divisors is an integer number (21216240).

Almost surely, 2^541031106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541031106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678919680).

541031106 is an abundant number, since it is smaller than the sum of its proper divisors (816808254).

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

541031106 is a wasteful number, since it uses less digits than its factorization.

541031106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 541031106 is about 23260.0753653121. The cubic root of 541031106 is about 814.8432614137.

The spelling of 541031106 in words is "five hundred forty-one million, thirty-one thousand, one hundred six".