1014106002 has 64 divisors (see below), whose sum is σ = 2501452800. Its totient is φ = 266900544.

The previous prime is 1014105991. The next prime is 1014106033. The reversal of 1014106002 is 2006014101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305749 + ... + 309047.

It is an arithmetic number, because the mean of its divisors is an integer number (39085200).

Almost surely, 2^1014106002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014106002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250726400).

1014106002 is an abundant number, since it is smaller than the sum of its proper divisors (1487346798).

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

1014106002 is a wasteful number, since it uses less digits than its factorization.

1014106002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1014106002 is about 31845.0310409646. The cubic root of 1014106002 is about 1004.6800635031.

The spelling of 1014106002 in words is "one billion, fourteen million, one hundred six thousand, two".