10112077800 has 768 divisors, whose sum is σ = 40304563200. Its totient is φ = 2307916800.

The previous prime is 10112077793. The next prime is 10112077867. The reversal of 10112077800 is 877021101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94505347 + ... + 94505453.

It is an arithmetic number, because the mean of its divisors is an integer number (52479900).

Almost surely, 2^10112077800 is an apocalyptic number.

10112077800 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 10112077800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20152281600).

10112077800 is an abundant number, since it is smaller than the sum of its proper divisors (30192485400).

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

10112077800 is a wasteful number, since it uses less digits than its factorization.

10112077800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

Adding to 10112077800 its reverse (877021101), we get a palindrome (10989098901).

The spelling of 10112077800 in words is "ten billion, one hundred twelve million, seventy-seven thousand, eight hundred".