3542100105 has 32 divisors (see below), whose sum is σ = 5784624000. Its totient is φ = 1850268672.

The previous prime is 3542100101. The next prime is 3542100109. The reversal of 3542100105 is 5010012453.

It is an interprime number because it is at equal distance from previous prime (3542100101) and next prime (3542100109).

It is not a de Polignac number, because 3542100105 - 2² = 3542100101 is a prime.

It is a super-3 number, since 3×3542100105³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3542100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237921 + ... + 252369.

It is an arithmetic number, because the mean of its divisors is an integer number (180769500).

Almost surely, 2^3542100105 is an apocalyptic number.

It is an amenable number.

3542100105 is a deficient number, since it is larger than the sum of its proper divisors (2242523895).

3542100105 is a wasteful number, since it uses less digits than its factorization.

3542100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14793.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 3542100105 is about 59515.5450701747. The cubic root of 3542100105 is about 1524.3578921768.

Adding to 3542100105 its reverse (5010012453), we get a palindrome (8552112558).

The spelling of 3542100105 in words is "three billion, five hundred forty-two million, one hundred thousand, one hundred five".