102112000 has 72 divisors (see below), whose sum is σ = 254453472. Its totient is φ = 40832000.

The previous prime is 102111959. The next prime is 102112009. The reversal of 102112000 is 211201.

It is not an unprimeable number, because it can be changed into a prime (102112009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30405 + ... + 33595.

It is an arithmetic number, because the mean of its divisors is an integer number (3534076).

Almost surely, 2^102112000 is an apocalyptic number.

102112000 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 102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127226736).

102112000 is an abundant number, since it is smaller than the sum of its proper divisors (152341472).

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

102112000 is an frugal number, since it uses more digits than its factorization.

102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 102112000 is about 10105.0482433287. The cubic root of 102112000 is about 467.4038236196.

Adding to 102112000 its reverse (211201), we get a palindrome (102323201).

The spelling of 102112000 in words is "one hundred two million, one hundred twelve thousand".