10352008900 has 54 divisors (see below), whose sum is σ = 23863059038. Its totient is φ = 3897216000.

The previous prime is 10352008871. The next prime is 10352008903. The reversal of 10352008900 is 980025301.

It can be written as a sum of positive squares in 9 ways, for example, as 538332804 + 9813676096 = 23202^2 + 99064^2 .

It is not an unprimeable number, because it can be changed into a prime (10352008903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150201 + ... + 208000.

Almost surely, 2^10352008900 is an apocalyptic number.

10352008900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10352008900 is an abundant number, since it is smaller than the sum of its proper divisors (13511050138).

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

10352008900 is a wasteful number, since it uses less digits than its factorization.

10352008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358249 (or 358225 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10352008900 in words is "ten billion, three hundred fifty-two million, eight thousand, nine hundred".