1000106001 has 16 divisors (see below), whose sum is σ = 1496027520. Its totient is φ = 660262320.

The previous prime is 1000105979. The next prime is 1000106011. The reversal of 1000106001 is 1006010001.

It is not a de Polignac number, because 1000106001 - 2⁵ = 1000105969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000106011) 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, 177030 + ... + 182591.

It is an arithmetic number, because the mean of its divisors is an integer number (93501720).

Almost surely, 2^1000106001 is an apocalyptic number.

It is an amenable number.

1000106001 is a deficient number, since it is larger than the sum of its proper divisors (495921519).

1000106001 is a wasteful number, since it uses less digits than its factorization.

1000106001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359733 (or 359727 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1000106001 is about 31624.4525802424. The cubic root of 1000106001 is about 1000.0353324183.

Adding to 1000106001 its reverse (1006010001), we get a palindrome (2006116002).

The spelling of 1000106001 in words is "one billion, one hundred six thousand, one".