103112100 has 216 divisors, whose sum is σ = 398099520. Its totient is φ = 21738240.

The previous prime is 103112099. The next prime is 103112101. The reversal of 103112100 is 1211301.

It is an interprime number because it is at equal distance from previous prime (103112099) and next prime (103112101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (103112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81271 + ... + 82529.

Almost surely, 2^103112100 is an apocalyptic number.

103112100 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 103112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199049760).

103112100 is an abundant number, since it is smaller than the sum of its proper divisors (294987420).

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

103112100 is a wasteful number, since it uses less digits than its factorization.

103112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 103112100 is about 10154.4128338373. The cubic root of 103112100 is about 468.9248094674.

Adding to 103112100 its reverse (1211301), we get a palindrome (104323401).

It can be divided in two parts, 1031 and 12100, that added together give a palindrome (13131).

The spelling of 103112100 in words is "one hundred three million, one hundred twelve thousand, one hundred".