10234215600 has 240 divisors, whose sum is σ = 37585094400. Its totient is φ = 2331878400.

The previous prime is 10234215587. The next prime is 10234215617. The reversal of 10234215600 is 651243201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2929855 + ... + 2933345.

It is an arithmetic number, because the mean of its divisors is an integer number (156604560).

Almost surely, 2^10234215600 is an apocalyptic number.

10234215600 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 10234215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792547200).

10234215600 is an abundant number, since it is smaller than the sum of its proper divisors (27350878800).

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

10234215600 is a wasteful number, since it uses less digits than its factorization.

10234215600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10234215600 its reverse (651243201), we get a palindrome (10885458801).

The spelling of 10234215600 in words is "ten billion, two hundred thirty-four million, two hundred fifteen thousand, six hundred".