10302320104400 has 30 divisors (see below), whose sum is σ = 24751324051782. Its totient is φ = 4120928041600.

The previous prime is 10302320104393. The next prime is 10302320104409. The reversal of 10302320104400 is 440102320301.

It can be written as a sum of positive squares in 3 ways, for example, as 1710058366864 + 8592261737536 = 1307692^2 + 2931256^2 .

It is a super-2 number, since 2×10302320104400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302320104409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12877899731 + ... + 12877900530.

Almost surely, 2^{10302320104400} is an apocalyptic number.

10302320104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302320104400 is an abundant number, since it is smaller than the sum of its proper divisors (14449003947382).

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

10302320104400 is a wasteful number, since it uses less digits than its factorization.

10302320104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25755800279 (or 25755800268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10302320104400 its reverse (440102320301), we get a palindrome (10742422424701).

The spelling of 10302320104400 in words is "ten trillion, three hundred two billion, three hundred twenty million, one hundred four thousand, four hundred".