10493107200 has 1056 divisors, whose sum is σ = 43861478400. Its totient is φ = 2441871360.

The previous prime is 10493107193. The next prime is 10493107223. The reversal of 10493107200 is 270139401.

It is a super-2 number, since 2×10493107200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223257577 + ... + 223257623.

Almost surely, 2^10493107200 is an apocalyptic number.

10493107200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10493107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930739200).

10493107200 is an abundant number, since it is smaller than the sum of its proper divisors (33368371200).

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

10493107200 is a wasteful number, since it uses less digits than its factorization.

10493107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10493107200 in words is "ten billion, four hundred ninety-three million, one hundred seven thousand, two hundred".