10005951100 has 18 divisors (see below), whose sum is σ = 21712914104. Its totient is φ = 4002380400.

The previous prime is 10005951083. The next prime is 10005951139. The reversal of 10005951100 is 115950001.

10005951100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 50029656 + ... + 50029855.

Almost surely, 2^10005951100 is an apocalyptic number.

10005951100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005951100 is an abundant number, since it is smaller than the sum of its proper divisors (11706963004).

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

10005951100 is a wasteful number, since it uses less digits than its factorization.

10005951100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100059525 (or 100059518 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 22.

The spelling of 10005951100 in words is "ten billion, five million, nine hundred fifty-one thousand, one hundred".