10006955 has 32 divisors (see below), whose sum is σ = 14819328. Its totient is φ = 6336000.

The previous prime is 10006937. The next prime is 10006957. The reversal of 10006955 is 55960001.

10006955 = T₂₆₉ + T₂₇₀ + ... + T₄₂₉.

10006955 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006955 - 2⁸ = 10006699 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10006957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24755 + ... + 25155.

It is an arithmetic number, because the mean of its divisors is an integer number (463104).

Almost surely, 2^10006955 is an apocalyptic number.

10006955 is a deficient number, since it is larger than the sum of its proper divisors (4812373).

10006955 is a wasteful number, since it uses less digits than its factorization.

10006955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 10006955 is about 3163.3771510839. The cubic root of 10006955 is about 215.4934044059.

Adding to 10006955 its reverse (55960001), we get a palindrome (65966956).

The spelling of 10006955 in words is "ten million, six thousand, nine hundred fifty-five".