10300920400 has 60 divisors (see below), whose sum is σ = 24928735932. Its totient is φ = 4090270720.

The previous prime is 10300920397. The next prime is 10300920407. The reversal of 10300920400 is 402900301.

10300920400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 601034256 + 9699886144 = 24516^2 + 98488^2 .

It is a super-2 number, since 2×10300920400² (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 (10300920407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39187 + ... + 148786.

Almost surely, 2^10300920400 is an apocalyptic number.

10300920400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300920400 is an abundant number, since it is smaller than the sum of its proper divisors (14627815532).

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

10300920400 is a wasteful number, since it uses less digits than its factorization.

10300920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188128 (or 188117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The spelling of 10300920400 in words is "ten billion, three hundred million, nine hundred twenty thousand, four hundred".