10340053200 has 90 divisors (see below), whose sum is σ = 35882869334. Its totient is φ = 2757346560.

The previous prime is 10340053187. The next prime is 10340053231. The reversal of 10340053200 is 235004301.

10340053200 is a `hidden beast` number, since 1 + 0 + 340 + 0 + 5 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3426463296 + 6913589904 = 58536^2 + 83148^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1432519 + ... + 1439718.

Almost surely, 2^10340053200 is an apocalyptic number.

10340053200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340053200 is an abundant number, since it is smaller than the sum of its proper divisors (25542816134).

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

10340053200 is a wasteful number, since it uses less digits than its factorization.

10340053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872261 (or 2872247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10340053200 its reverse (235004301), we get a palindrome (10575057501).

The spelling of 10340053200 in words is "ten billion, three hundred forty million, fifty-three thousand, two hundred".