10346350900 has 18 divisors (see below), whose sum is σ = 22451581670. Its totient is φ = 4138540320.

The previous prime is 10346350891. The next prime is 10346350913. The reversal of 10346350900 is 905364301.

It can be written as a sum of positive squares in 3 ways, for example, as 1331228196 + 9015122704 = 36486^2 + 94948^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51731655 + ... + 51731854.

Almost surely, 2^10346350900 is an apocalyptic number.

10346350900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10346350900 is an abundant number, since it is smaller than the sum of its proper divisors (12105230770).

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

10346350900 is a wasteful number, since it uses less digits than its factorization.

10346350900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103463523 (or 103463516 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 10346350900 in words is "ten billion, three hundred forty-six million, three hundred fifty thousand, nine hundred".