4101106064 has 40 divisors (see below), whose sum is σ = 8947879680. Its totient is φ = 1804003200.

The previous prime is 4101106063. The next prime is 4101106073. The reversal of 4101106064 is 4606011014.

4101106064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4101106063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370379 + ... + 381290.

It is an arithmetic number, because the mean of its divisors is an integer number (223696992).

Almost surely, 2^4101106064 is an apocalyptic number.

4101106064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4101106064 is an abundant number, since it is smaller than the sum of its proper divisors (4846773616).

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

4101106064 is a wasteful number, since it uses less digits than its factorization.

4101106064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751719 (or 751713 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 4101106064 is about 64039.8787006971. The cubic root of 4101106064 is about 1600.6645760068.

Adding to 4101106064 its reverse (4606011014), we get a palindrome (8707117078).

The spelling of 4101106064 in words is "four billion, one hundred one million, one hundred six thousand, sixty-four".