1006056101 has 8 divisors (see below), whose sum is σ = 1013978784. Its totient is φ = 998159760.

The previous prime is 1006056097. The next prime is 1006056119. The reversal of 1006056101 is 1016506001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006056101 - 2² = 1006056097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006056131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 73910 + ... + 86456.

It is an arithmetic number, because the mean of its divisors is an integer number (126747348).

Almost surely, 2^1006056101 is an apocalyptic number.

It is an amenable number.

1006056101 is a deficient number, since it is larger than the sum of its proper divisors (7922683).

1006056101 is a wasteful number, since it uses less digits than its factorization.

1006056101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1006056101 is about 31718.3874274844. The cubic root of 1006056101 is about 1002.0146388380.

The spelling of 1006056101 in words is "one billion, six million, fifty-six thousand, one hundred one".