1006106101 has 16 divisors (see below), whose sum is σ = 1350857088. Its totient is φ = 723672000.

The previous prime is 1006106081. The next prime is 1006106113. The reversal of 1006106101 is 1016016001.

It is a cyclic number.

It is not a de Polignac number, because 1006106101 - 2⁷ = 1006105973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006106161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501550 + ... + 503551.

It is an arithmetic number, because the mean of its divisors is an integer number (84428568).

Almost surely, 2^1006106101 is an apocalyptic number.

1006106101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006106101 is a deficient number, since it is larger than the sum of its proper divisors (344750987).

1006106101 is a wasteful number, since it uses less digits than its factorization.

1006106101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005132.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1006106101 is about 31719.1756040412. The cubic root of 1006106101 is about 1002.0312382775.

The spelling of 1006106101 in words is "one billion, six million, one hundred six thousand, one hundred one".