4132101006 has 32 divisors (see below), whose sum is σ = 10017216000. Its totient is φ = 1252151640.

The previous prime is 4132100993. The next prime is 4132101013. The reversal of 4132101006 is 6001012314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 4132101006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3477606 + ... + 3478793.

It is an arithmetic number, because the mean of its divisors is an integer number (313038000).

Almost surely, 2^4132101006 is an apocalyptic number.

4132101006 is an abundant number, since it is smaller than the sum of its proper divisors (5885114994).

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

4132101006 is a wasteful number, since it uses less digits than its factorization.

4132101006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956421 (or 6956415 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4132101006 is about 64281.4203794533. The cubic root of 4132101006 is about 1604.6869089696.

The spelling of 4132101006 in words is "four billion, one hundred thirty-two million, one hundred one thousand, six".