103112000 has 56 divisors (see below), whose sum is σ = 255376680. Its totient is φ = 41241600.

The previous prime is 103111991. The next prime is 103112027. The reversal of 103112000 is 211301.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 101284096 = 1352^2 + 10064^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1556 + ... + 14444.

Almost surely, 2^103112000 is an apocalyptic number.

103112000 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 103112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127688340).

103112000 is an abundant number, since it is smaller than the sum of its proper divisors (152264680).

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

103112000 is an equidigital number, since it uses as much as digits as its factorization.

103112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 103112000 is about 10154.4079098685. The cubic root of 103112000 is about 468.9246578767.

Adding to 103112000 its reverse (211301), we get a palindrome (103323301).

It can be divided in two parts, 1031 and 12000, that added together give a palindrome (13031).

The spelling of 103112000 in words is "one hundred three million, one hundred twelve thousand".