10034301200 has 240 divisors, whose sum is σ = 30357390336. Its totient is φ = 3096230400.

The previous prime is 10034301191. The next prime is 10034301203. The reversal of 10034301200 is 210343001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10034301203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3170819 + ... + 3173981.

Almost surely, 2^10034301200 is an apocalyptic number.

10034301200 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 10034301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178695168).

10034301200 is an abundant number, since it is smaller than the sum of its proper divisors (20323089136).

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

10034301200 is a wasteful number, since it uses less digits than its factorization.

10034301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10034301200 its reverse (210343001), we get a palindrome (10244644201).

The spelling of 10034301200 in words is "ten billion, thirty-four million, three hundred one thousand, two hundred".