10230105600 has 1440 divisors, whose sum is σ = 46543521024. Its totient is φ = 2189721600.

The previous prime is 10230105593. The next prime is 10230105601. The reversal of 10230105600 is 650103201.

10230105600 is a `hidden beast` number, since 102 + 3 + 0 + 1 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230105601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 444787189 + ... + 444787211.

Almost surely, 2^10230105600 is an apocalyptic number.

10230105600 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 10230105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23271760512).

10230105600 is an abundant number, since it is smaller than the sum of its proper divisors (36313415424).

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

10230105600 is a wasteful number, since it uses less digits than its factorization.

10230105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10230105600 its reverse (650103201), we get a palindrome (10880208801).

The spelling of 10230105600 in words is "ten billion, two hundred thirty million, one hundred five thousand, six hundred".