100077006 has 16 divisors (see below), whose sum is σ = 204413184. Its totient is φ = 32649144.

The previous prime is 100076969. The next prime is 100077031. The reversal of 100077006 is 600770001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 177160 + ... + 177723.

It is an arithmetic number, because the mean of its divisors is an integer number (12775824).

Almost surely, 2^100077006 is an apocalyptic number.

100077006 is an abundant number, since it is smaller than the sum of its proper divisors (104336178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100077006 is a wasteful number, since it uses less digits than its factorization.

100077006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354935.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 100077006 is about 10003.8495590448. The cubic root of 100077006 is about 464.2779961884.

The spelling of 100077006 in words is "one hundred million, seventy-seven thousand, six".