10005770200 has 48 divisors (see below), whose sum is σ = 23489322480. Its totient is φ = 3963442560.

The previous prime is 10005770183. The next prime is 10005770231. The reversal of 10005770200 is 207750001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222259 + ... + 263458.

It is an arithmetic number, because the mean of its divisors is an integer number (489360885).

Almost surely, 2^10005770200 is an apocalyptic number.

10005770200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005770200 is an abundant number, since it is smaller than the sum of its proper divisors (13483552280).

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

10005770200 is a wasteful number, since it uses less digits than its factorization.

10005770200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485836 (or 485827 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The spelling of 10005770200 in words is "ten billion, five million, seven hundred seventy thousand, two hundred".