10112134400 has 216 divisors, whose sum is σ = 26582465280. Its totient is φ = 3797729280.

The previous prime is 10112134387. The next prime is 10112134411. The reversal of 10112134400 is 443121101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16658897 + ... + 16659503.

Almost surely, 2^10112134400 is an apocalyptic number.

10112134400 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 10112134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291232640).

10112134400 is an abundant number, since it is smaller than the sum of its proper divisors (16470330880).

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

10112134400 is a wasteful number, since it uses less digits than its factorization.

10112134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10112134400 its reverse (443121101), we get a palindrome (10555255501).

The spelling of 10112134400 in words is "ten billion, one hundred twelve million, one hundred thirty-four thousand, four hundred".