103314000 has 160 divisors (see below), whose sum is σ = 339371136. Its totient is φ = 27033600.

The previous prime is 103313941. The next prime is 103314019. The reversal of 103314000 is 413301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401872 + ... + 402128.

Almost surely, 2^103314000 is an apocalyptic number.

103314000 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 103314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169685568).

103314000 is an abundant number, since it is smaller than the sum of its proper divisors (236057136).

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

103314000 is a wasteful number, since it uses less digits than its factorization.

103314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103314000 is about 10164.3494627054. The cubic root of 103314000 is about 469.2306713800.

Adding to 103314000 its reverse (413301), we get a palindrome (103727301).

The spelling of 103314000 in words is "one hundred three million, three hundred fourteen thousand".