10300525400 has 192 divisors, whose sum is σ = 26645794560. Its totient is φ = 3672000000.

The previous prime is 10300525387. The next prime is 10300525447. The reversal of 10300525400 is 452500301.

It is a super-2 number, since 2×10300525400² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33552047 + ... + 33552353.

It is an arithmetic number, because the mean of its divisors is an integer number (138780180).

Almost surely, 2^10300525400 is an apocalyptic number.

10300525400 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 10300525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322897280).

10300525400 is an abundant number, since it is smaller than the sum of its proper divisors (16345269160).

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

10300525400 is a wasteful number, since it uses less digits than its factorization.

10300525400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

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

The spelling of 10300525400 in words is "ten billion, three hundred million, five hundred twenty-five thousand, four hundred".