10300552400 has 30 divisors (see below), whose sum is σ = 24747078102. Its totient is φ = 4120220800.

The previous prime is 10300552397. The next prime is 10300552411. The reversal of 10300552400 is 425500301.

It can be written as a sum of positive squares in 3 ways, for example, as 3144069184 + 7156483216 = 56072^2 + 84596^2 .

It is a super-2 number, since 2×10300552400² (a number of 21 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12875291 + ... + 12876090.

Almost surely, 2^10300552400 is an apocalyptic number.

10300552400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300552400 is an abundant number, since it is smaller than the sum of its proper divisors (14446525702).

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

10300552400 is a wasteful number, since it uses less digits than its factorization.

10300552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25751399 (or 25751388 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 10300552400 in words is "ten billion, three hundred million, five hundred fifty-two thousand, four hundred".