10305241035100 has 144 divisors (see below), whose sum is σ = 24834991458816. Its totient is φ = 3680411904000.

The previous prime is 10305241035077. The next prime is 10305241035119. The reversal of 10305241035100 is 153014250301.

It is a happy number.

10305241035100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 13609069 + ... + 14346331.

It is an arithmetic number, because the mean of its divisors is an integer number (172465218464).

Almost surely, 2^{10305241035100} is an apocalyptic number.

10305241035100 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 10305241035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417495729408).

10305241035100 is an abundant number, since it is smaller than the sum of its proper divisors (14529750423716).

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

10305241035100 is a wasteful number, since it uses less digits than its factorization.

10305241035100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737516 (or 737509 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 10305241035100 its reverse (153014250301), we get a palindrome (10458255285401).

The spelling of 10305241035100 in words is "ten trillion, three hundred five billion, two hundred forty-one million, thirty-five thousand, one hundred".