103113000 has 320 divisors, whose sum is σ = 385070400. Its totient is φ = 25660800.

The previous prime is 103112987. The next prime is 103113077. The reversal of 103113000 is 311301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1538967 + ... + 1539033.

It is an arithmetic number, because the mean of its divisors is an integer number (1203345).

Almost surely, 2^103113000 is an apocalyptic number.

103113000 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 103113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535200).

103113000 is an abundant number, since it is smaller than the sum of its proper divisors (281957400).

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

103113000 is a wasteful number, since it uses less digits than its factorization.

103113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

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

The square root of 103113000 is about 10154.4571494492. The cubic root of 103113000 is about 468.9261737790.

Adding to 103113000 its reverse (311301), we get a palindrome (103424301).

The spelling of 103113000 in words is "one hundred three million, one hundred thirteen thousand".