10112000 has 88 divisors (see below), whose sum is σ = 25546560. Its totient is φ = 3993600.

The previous prime is 10111993. The next prime is 10112027. The reversal of 10112000 is 21101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127961 + ... + 128039.

Almost surely, 2^10112000 is an apocalyptic number.

10112000 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 10112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773280).

10112000 is an abundant number, since it is smaller than the sum of its proper divisors (15434560).

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

10112000 is an frugal number, since it uses more digits than its factorization.

10112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 10112000 is about 3179.9371062963. The cubic root of 10112000 is about 216.2448070300.

Adding to 10112000 its reverse (21101), we get a palindrome (10133101).

The spelling of 10112000 in words is "ten million, one hundred twelve thousand".