10349215200 has 108 divisors (see below), whose sum is σ = 36493945488. Its totient is φ = 2759788800.

The previous prime is 10349215187. The next prime is 10349215207. The reversal of 10349215200 is 251294301.

It is a super-2 number, since 2×10349215200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10349215207) 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, 711496 + ... + 725895.

Almost surely, 2^10349215200 is an apocalyptic number.

10349215200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10349215200 is an abundant number, since it is smaller than the sum of its proper divisors (26144730288).

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

10349215200 is a wasteful number, since it uses less digits than its factorization.

10349215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437417 (or 1437401 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10349215200 in words is "ten billion, three hundred forty-nine million, two hundred fifteen thousand, two hundred".