1001106051 has 16 divisors (see below), whose sum is σ = 1457315328. Its totient is φ = 606247200.

The previous prime is 1001106023. The next prime is 1001106053. The reversal of 1001106051 is 1506011001.

It is not a de Polignac number, because 1001106051 - 2¹⁴ = 1001089667 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001106051.

It is not an unprimeable number, because it can be changed into a prime (1001106053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32361 + ... + 55221.

It is an arithmetic number, because the mean of its divisors is an integer number (91082208).

Almost surely, 2^1001106051 is an apocalyptic number.

1001106051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001106051 is a deficient number, since it is larger than the sum of its proper divisors (456209277).

1001106051 is a wasteful number, since it uses less digits than its factorization.

1001106051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24202.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1001106051 is about 31640.2599704870. The cubic root of 1001106051 is about 1000.3685478225.

Adding to 1001106051 its reverse (1506011001), we get a palindrome (2507117052).

The spelling of 1001106051 in words is "one billion, one million, one hundred six thousand, fifty-one".